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Finding the Fourth Proportional to 5,136.74, 7,701.62 and 2,014.79

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Solution

The fourth proportional to 5,136.74, 7,701.62 and 2,014.79 is: 3,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.74 : 7,701.62 = 2,014.79 : x
  2. Step 2: Convert to fraction form
    5,136.74/7,701.62 = 2,014.79/x
  3. Step 3: Cross multiply
    5,136.74x = 7,701.62 × 2,014.79
  4. Step 4: Simplify right side
    5,136.74x = 15,517,098.38
  5. Step 5: Solve for x
    x = 15,517,098.38/5,136.74
  6. Step 6: Final answer
    x = 3,020.81

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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.