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Finding the Fourth Proportional to 3,613.53, 5,420.27 and 1,148.55

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Solution

The fourth proportional to 3,613.53, 5,420.27 and 1,148.55 is: 1,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.53 : 5,420.27 = 1,148.55 : x
  2. Step 2: Convert to fraction form
    3,613.53/5,420.27 = 1,148.55/x
  3. Step 3: Cross multiply
    3,613.53x = 5,420.27 × 1,148.55
  4. Step 4: Simplify right side
    3,613.53x = 6,225,451.11
  5. Step 5: Solve for x
    x = 6,225,451.11/3,613.53
  6. Step 6: Final answer
    x = 1,722.82

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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.