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Finding the Fourth Proportional to 3,729.62, 5,146.26 and 2,613.98

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Solution

The fourth proportional to 3,729.62, 5,146.26 and 2,613.98 is: 3,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.62 : 5,146.26 = 2,613.98 : x
  2. Step 2: Convert to fraction form
    3,729.62/5,146.26 = 2,613.98/x
  3. Step 3: Cross multiply
    3,729.62x = 5,146.26 × 2,613.98
  4. Step 4: Simplify right side
    3,729.62x = 13,452,220.71
  5. Step 5: Solve for x
    x = 13,452,220.71/3,729.62
  6. Step 6: Final answer
    x = 3,606.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.