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Finding the Fourth Proportional to 6,591.76, 9,092.64 and 4,233.04

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Solution

The fourth proportional to 6,591.76, 9,092.64 and 4,233.04 is: 5,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.76 : 9,092.64 = 4,233.04 : x
  2. Step 2: Convert to fraction form
    6,591.76/9,092.64 = 4,233.04/x
  3. Step 3: Cross multiply
    6,591.76x = 9,092.64 × 4,233.04
  4. Step 4: Simplify right side
    6,591.76x = 38,489,508.83
  5. Step 5: Solve for x
    x = 38,489,508.83/6,591.76
  6. Step 6: Final answer
    x = 5,839.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.