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Finding the Fourth Proportional to 3,517.92, 4,854.98 and 2,026.22

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Solution

The fourth proportional to 3,517.92, 4,854.98 and 2,026.22 is: 2,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.92 : 4,854.98 = 2,026.22 : x
  2. Step 2: Convert to fraction form
    3,517.92/4,854.98 = 2,026.22/x
  3. Step 3: Cross multiply
    3,517.92x = 4,854.98 × 2,026.22
  4. Step 4: Simplify right side
    3,517.92x = 9,837,238.37
  5. Step 5: Solve for x
    x = 9,837,238.37/3,517.92
  6. Step 6: Final answer
    x = 2,796.32

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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.