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Finding the Fourth Proportional to 5,044.52, 7,555.84 and 2,442

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Solution

The fourth proportional to 5,044.52, 7,555.84 and 2,442 is: 3,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.52 : 7,555.84 = 2,442 : x
  2. Step 2: Convert to fraction form
    5,044.52/7,555.84 = 2,442/x
  3. Step 3: Cross multiply
    5,044.52x = 7,555.84 × 2,442
  4. Step 4: Simplify right side
    5,044.52x = 18,451,361.28
  5. Step 5: Solve for x
    x = 18,451,361.28/5,044.52
  6. Step 6: Final answer
    x = 3,657.70

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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.