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Finding the Fourth Proportional to 5,648.32, 8,454.88 and 3,044.80

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Solution

The fourth proportional to 5,648.32, 8,454.88 and 3,044.80 is: 4,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.32 : 8,454.88 = 3,044.80 : x
  2. Step 2: Convert to fraction form
    5,648.32/8,454.88 = 3,044.80/x
  3. Step 3: Cross multiply
    5,648.32x = 8,454.88 × 3,044.80
  4. Step 4: Simplify right side
    5,648.32x = 25,743,418.62
  5. Step 5: Solve for x
    x = 25,743,418.62/5,648.32
  6. Step 6: Final answer
    x = 4,557.71

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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.