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Finding the Fourth Proportional to 5,613.57, 8,415.24 and 3,527.25

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Solution

The fourth proportional to 5,613.57, 8,415.24 and 3,527.25 is: 5,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.57 : 8,415.24 = 3,527.25 : x
  2. Step 2: Convert to fraction form
    5,613.57/8,415.24 = 3,527.25/x
  3. Step 3: Cross multiply
    5,613.57x = 8,415.24 × 3,527.25
  4. Step 4: Simplify right side
    5,613.57x = 29,682,655.29
  5. Step 5: Solve for x
    x = 29,682,655.29/5,613.57
  6. Step 6: Final answer
    x = 5,287.66

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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.