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Finding the Fourth Proportional to 5,614.08, 8,414.64 and 3,527.52

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Solution

The fourth proportional to 5,614.08, 8,414.64 and 3,527.52 is: 5,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.08 : 8,414.64 = 3,527.52 : x
  2. Step 2: Convert to fraction form
    5,614.08/8,414.64 = 3,527.52/x
  3. Step 3: Cross multiply
    5,614.08x = 8,414.64 × 3,527.52
  4. Step 4: Simplify right side
    5,614.08x = 29,682,810.89
  5. Step 5: Solve for x
    x = 29,682,810.89/5,614.08
  6. Step 6: Final answer
    x = 5,287.21

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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.