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Finding the Fourth Proportional to 3,387.50, 5,081.52 and 922.52

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Solution

The fourth proportional to 3,387.50, 5,081.52 and 922.52 is: 1,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.50 : 5,081.52 = 922.52 : x
  2. Step 2: Convert to fraction form
    3,387.50/5,081.52 = 922.52/x
  3. Step 3: Cross multiply
    3,387.50x = 5,081.52 × 922.52
  4. Step 4: Simplify right side
    3,387.50x = 4,687,803.83
  5. Step 5: Solve for x
    x = 4,687,803.83/3,387.50
  6. Step 6: Final answer
    x = 1,383.85

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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.