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Finding the Fourth Proportional to 3,904.92, 5,857.38 and 983.23

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Solution

The fourth proportional to 3,904.92, 5,857.38 and 983.23 is: 1,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.92 : 5,857.38 = 983.23 : x
  2. Step 2: Convert to fraction form
    3,904.92/5,857.38 = 983.23/x
  3. Step 3: Cross multiply
    3,904.92x = 5,857.38 × 983.23
  4. Step 4: Simplify right side
    3,904.92x = 5,759,135.25
  5. Step 5: Solve for x
    x = 5,759,135.25/3,904.92
  6. Step 6: Final answer
    x = 1,474.84

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.