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Finding the Fourth Proportional to 5,882.38, 8,815.78 and 4,315.05

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Solution

The fourth proportional to 5,882.38, 8,815.78 and 4,315.05 is: 6,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.38 : 8,815.78 = 4,315.05 : x
  2. Step 2: Convert to fraction form
    5,882.38/8,815.78 = 4,315.05/x
  3. Step 3: Cross multiply
    5,882.38x = 8,815.78 × 4,315.05
  4. Step 4: Simplify right side
    5,882.38x = 38,040,487.41
  5. Step 5: Solve for x
    x = 38,040,487.41/5,882.38
  6. Step 6: Final answer
    x = 6,466.85

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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.