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Finding the Fourth Proportional to 3,736.31, 5,578.14 and 2,854.16

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Solution

The fourth proportional to 3,736.31, 5,578.14 and 2,854.16 is: 4,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.31 : 5,578.14 = 2,854.16 : x
  2. Step 2: Convert to fraction form
    3,736.31/5,578.14 = 2,854.16/x
  3. Step 3: Cross multiply
    3,736.31x = 5,578.14 × 2,854.16
  4. Step 4: Simplify right side
    3,736.31x = 15,920,876.17
  5. Step 5: Solve for x
    x = 15,920,876.17/3,736.31
  6. Step 6: Final answer
    x = 4,261.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.