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Finding the Fourth Proportional to 3,517.92, 4,857.60 and 2,259.60

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Solution

The fourth proportional to 3,517.92, 4,857.60 and 2,259.60 is: 3,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.92 : 4,857.60 = 2,259.60 : x
  2. Step 2: Convert to fraction form
    3,517.92/4,857.60 = 2,259.60/x
  3. Step 3: Cross multiply
    3,517.92x = 4,857.60 × 2,259.60
  4. Step 4: Simplify right side
    3,517.92x = 10,976,232.96
  5. Step 5: Solve for x
    x = 10,976,232.96/3,517.92
  6. Step 6: Final answer
    x = 3,120.09

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.