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Finding the Fourth Proportional to 3,708.72, 5,563.12 and 1,516.88

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Solution

The fourth proportional to 3,708.72, 5,563.12 and 1,516.88 is: 2,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.72 : 5,563.12 = 1,516.88 : x
  2. Step 2: Convert to fraction form
    3,708.72/5,563.12 = 1,516.88/x
  3. Step 3: Cross multiply
    3,708.72x = 5,563.12 × 1,516.88
  4. Step 4: Simplify right side
    3,708.72x = 8,438,585.47
  5. Step 5: Solve for x
    x = 8,438,585.47/3,708.72
  6. Step 6: Final answer
    x = 2,275.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.