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Finding the Fourth Proportional to 6,591.47, 9,091.08 and 4,233.83

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Solution

The fourth proportional to 6,591.47, 9,091.08 and 4,233.83 is: 5,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.47 : 9,091.08 = 4,233.83 : x
  2. Step 2: Convert to fraction form
    6,591.47/9,091.08 = 4,233.83/x
  3. Step 3: Cross multiply
    6,591.47x = 9,091.08 × 4,233.83
  4. Step 4: Simplify right side
    6,591.47x = 38,490,087.24
  5. Step 5: Solve for x
    x = 38,490,087.24/6,591.47
  6. Step 6: Final answer
    x = 5,839.38

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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.