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Finding the Fourth Proportional to 3,136.91, 4,328.96 and 2,142.17

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Solution

The fourth proportional to 3,136.91, 4,328.96 and 2,142.17 is: 2,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.91 : 4,328.96 = 2,142.17 : x
  2. Step 2: Convert to fraction form
    3,136.91/4,328.96 = 2,142.17/x
  3. Step 3: Cross multiply
    3,136.91x = 4,328.96 × 2,142.17
  4. Step 4: Simplify right side
    3,136.91x = 9,273,351.95
  5. Step 5: Solve for x
    x = 9,273,351.95/3,136.91
  6. Step 6: Final answer
    x = 2,956.20

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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.