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Finding the Fourth Proportional to 5,142.97, 7,097.30 and 2,785.11

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Solution

The fourth proportional to 5,142.97, 7,097.30 and 2,785.11 is: 3,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.97 : 7,097.30 = 2,785.11 : x
  2. Step 2: Convert to fraction form
    5,142.97/7,097.30 = 2,785.11/x
  3. Step 3: Cross multiply
    5,142.97x = 7,097.30 × 2,785.11
  4. Step 4: Simplify right side
    5,142.97x = 19,766,761.20
  5. Step 5: Solve for x
    x = 19,766,761.20/5,142.97
  6. Step 6: Final answer
    x = 3,843.45

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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.