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Finding the Fourth Proportional to 3,613.74, 5,421.22 and 1,149.16

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Solution

The fourth proportional to 3,613.74, 5,421.22 and 1,149.16 is: 1,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.74 : 5,421.22 = 1,149.16 : x
  2. Step 2: Convert to fraction form
    3,613.74/5,421.22 = 1,149.16/x
  3. Step 3: Cross multiply
    3,613.74x = 5,421.22 × 1,149.16
  4. Step 4: Simplify right side
    3,613.74x = 6,229,849.18
  5. Step 5: Solve for x
    x = 6,229,849.18/3,613.74
  6. Step 6: Final answer
    x = 1,723.93

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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.