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Finding the Fourth Proportional to 3,136.49, 4,695.50 and 2,318.41

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Solution

The fourth proportional to 3,136.49, 4,695.50 and 2,318.41 is: 3,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.49 : 4,695.50 = 2,318.41 : x
  2. Step 2: Convert to fraction form
    3,136.49/4,695.50 = 2,318.41/x
  3. Step 3: Cross multiply
    3,136.49x = 4,695.50 × 2,318.41
  4. Step 4: Simplify right side
    3,136.49x = 10,886,094.16
  5. Step 5: Solve for x
    x = 10,886,094.16/3,136.49
  6. Step 6: Final answer
    x = 3,470.79

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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.