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Finding the Fourth Proportional to 5,142.92, 7,097.24 and 2,785.08

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Solution

The fourth proportional to 5,142.92, 7,097.24 and 2,785.08 is: 3,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.92 : 7,097.24 = 2,785.08 : x
  2. Step 2: Convert to fraction form
    5,142.92/7,097.24 = 2,785.08/x
  3. Step 3: Cross multiply
    5,142.92x = 7,097.24 × 2,785.08
  4. Step 4: Simplify right side
    5,142.92x = 19,766,381.18
  5. Step 5: Solve for x
    x = 19,766,381.18/5,142.92
  6. Step 6: Final answer
    x = 3,843.42

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