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Finding the Fourth Proportional to 6,624.50, 9,142.05 and 3,792.38

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Solution

The fourth proportional to 6,624.50, 9,142.05 and 3,792.38 is: 5,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.50 : 9,142.05 = 3,792.38 : x
  2. Step 2: Convert to fraction form
    6,624.50/9,142.05 = 3,792.38/x
  3. Step 3: Cross multiply
    6,624.50x = 9,142.05 × 3,792.38
  4. Step 4: Simplify right side
    6,624.50x = 34,670,127.58
  5. Step 5: Solve for x
    x = 34,670,127.58/6,624.50
  6. Step 6: Final answer
    x = 5,233.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.