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Finding the Fourth Proportional to 3,792.50, 5,693.70 and 3,330.80

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Solution

The fourth proportional to 3,792.50, 5,693.70 and 3,330.80 is: 5,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.50 : 5,693.70 = 3,330.80 : x
  2. Step 2: Convert to fraction form
    3,792.50/5,693.70 = 3,330.80/x
  3. Step 3: Cross multiply
    3,792.50x = 5,693.70 × 3,330.80
  4. Step 4: Simplify right side
    3,792.50x = 18,964,575.96
  5. Step 5: Solve for x
    x = 18,964,575.96/3,792.50
  6. Step 6: Final answer
    x = 5,000.55

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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.