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Finding the Fourth Proportional to 5,591.41, 8,376.17 and 4,286.50

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Solution

The fourth proportional to 5,591.41, 8,376.17 and 4,286.50 is: 6,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.41 : 8,376.17 = 4,286.50 : x
  2. Step 2: Convert to fraction form
    5,591.41/8,376.17 = 4,286.50/x
  3. Step 3: Cross multiply
    5,591.41x = 8,376.17 × 4,286.50
  4. Step 4: Simplify right side
    5,591.41x = 35,904,452.71
  5. Step 5: Solve for x
    x = 35,904,452.71/5,591.41
  6. Step 6: Final answer
    x = 6,421.36

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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.