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Finding the Fourth Proportional to 3,741.92, 5,613.12 and 968.61

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Solution

The fourth proportional to 3,741.92, 5,613.12 and 968.61 is: 1,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.92 : 5,613.12 = 968.61 : x
  2. Step 2: Convert to fraction form
    3,741.92/5,613.12 = 968.61/x
  3. Step 3: Cross multiply
    3,741.92x = 5,613.12 × 968.61
  4. Step 4: Simplify right side
    3,741.92x = 5,436,924.16
  5. Step 5: Solve for x
    x = 5,436,924.16/3,741.92
  6. Step 6: Final answer
    x = 1,452.98

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Why These Related Problems?

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