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Finding the Fourth Proportional to 3,613.68, 5,420.51 and 1,016.61

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Solution

The fourth proportional to 3,613.68, 5,420.51 and 1,016.61 is: 1,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.68 : 5,420.51 = 1,016.61 : x
  2. Step 2: Convert to fraction form
    3,613.68/5,420.51 = 1,016.61/x
  3. Step 3: Cross multiply
    3,613.68x = 5,420.51 × 1,016.61
  4. Step 4: Simplify right side
    3,613.68x = 5,510,566.19
  5. Step 5: Solve for x
    x = 5,510,566.19/3,613.68
  6. Step 6: Final answer
    x = 1,524.92

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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.