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Finding the Fourth Proportional to 3,691.29, 5,089.55 and 3,016.60

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Solution

The fourth proportional to 3,691.29, 5,089.55 and 3,016.60 is: 4,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.29 : 5,089.55 = 3,016.60 : x
  2. Step 2: Convert to fraction form
    3,691.29/5,089.55 = 3,016.60/x
  3. Step 3: Cross multiply
    3,691.29x = 5,089.55 × 3,016.60
  4. Step 4: Simplify right side
    3,691.29x = 15,353,136.53
  5. Step 5: Solve for x
    x = 15,353,136.53/3,691.29
  6. Step 6: Final answer
    x = 4,159.29

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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.