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Finding the Fourth Proportional to 3,655.31, 5,042.58 and 3,513.86

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Solution

The fourth proportional to 3,655.31, 5,042.58 and 3,513.86 is: 4,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.31 : 5,042.58 = 3,513.86 : x
  2. Step 2: Convert to fraction form
    3,655.31/5,042.58 = 3,513.86/x
  3. Step 3: Cross multiply
    3,655.31x = 5,042.58 × 3,513.86
  4. Step 4: Simplify right side
    3,655.31x = 17,718,920.16
  5. Step 5: Solve for x
    x = 17,718,920.16/3,655.31
  6. Step 6: Final answer
    x = 4,847.45

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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.