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Finding the Fourth Proportional to 3,713.72, 5,124.92 and 2,035.15

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Solution

The fourth proportional to 3,713.72, 5,124.92 and 2,035.15 is: 2,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.72 : 5,124.92 = 2,035.15 : x
  2. Step 2: Convert to fraction form
    3,713.72/5,124.92 = 2,035.15/x
  3. Step 3: Cross multiply
    3,713.72x = 5,124.92 × 2,035.15
  4. Step 4: Simplify right side
    3,713.72x = 10,429,957.95
  5. Step 5: Solve for x
    x = 10,429,957.95/3,713.72
  6. Step 6: Final answer
    x = 2,808.50

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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.