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Finding the Fourth Proportional to 6,354.48, 9,531.48 and 3,773.88

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Solution

The fourth proportional to 6,354.48, 9,531.48 and 3,773.88 is: 5,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.48 : 9,531.48 = 3,773.88 : x
  2. Step 2: Convert to fraction form
    6,354.48/9,531.48 = 3,773.88/x
  3. Step 3: Cross multiply
    6,354.48x = 9,531.48 × 3,773.88
  4. Step 4: Simplify right side
    6,354.48x = 35,970,661.74
  5. Step 5: Solve for x
    x = 35,970,661.74/6,354.48
  6. Step 6: Final answer
    x = 5,660.68

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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.