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Finding the Fourth Proportional to 3,136.50, 4,695.50 and 2,318.42

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Solution

The fourth proportional to 3,136.50, 4,695.50 and 2,318.42 is: 3,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.50 : 4,695.50 = 2,318.42 : x
  2. Step 2: Convert to fraction form
    3,136.50/4,695.50 = 2,318.42/x
  3. Step 3: Cross multiply
    3,136.50x = 4,695.50 × 2,318.42
  4. Step 4: Simplify right side
    3,136.50x = 10,886,141.11
  5. Step 5: Solve for x
    x = 10,886,141.11/3,136.50
  6. Step 6: Final answer
    x = 3,470.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.