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Finding the Fourth Proportional to 5,488.38, 8,230.91 and 4,611.15

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Solution

The fourth proportional to 5,488.38, 8,230.91 and 4,611.15 is: 6,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.38 : 8,230.91 = 4,611.15 : x
  2. Step 2: Convert to fraction form
    5,488.38/8,230.91 = 4,611.15/x
  3. Step 3: Cross multiply
    5,488.38x = 8,230.91 × 4,611.15
  4. Step 4: Simplify right side
    5,488.38x = 37,953,937.59
  5. Step 5: Solve for x
    x = 37,953,937.59/5,488.38
  6. Step 6: Final answer
    x = 6,915.33

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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.