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Finding the Fourth Proportional to 6,591.58, 9,882.70 and 3,302.30

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Solution

The fourth proportional to 6,591.58, 9,882.70 and 3,302.30 is: 4,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.58 : 9,882.70 = 3,302.30 : x
  2. Step 2: Convert to fraction form
    6,591.58/9,882.70 = 3,302.30/x
  3. Step 3: Cross multiply
    6,591.58x = 9,882.70 × 3,302.30
  4. Step 4: Simplify right side
    6,591.58x = 32,635,640.21
  5. Step 5: Solve for x
    x = 32,635,640.21/6,591.58
  6. Step 6: Final answer
    x = 4,951.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.