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Finding the Fourth Proportional to 5,385.38, 8,078.54 and 1,489.82

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Solution

The fourth proportional to 5,385.38, 8,078.54 and 1,489.82 is: 2,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.38 : 8,078.54 = 1,489.82 : x
  2. Step 2: Convert to fraction form
    5,385.38/8,078.54 = 1,489.82/x
  3. Step 3: Cross multiply
    5,385.38x = 8,078.54 × 1,489.82
  4. Step 4: Simplify right side
    5,385.38x = 12,035,522.62
  5. Step 5: Solve for x
    x = 12,035,522.62/5,385.38
  6. Step 6: Final answer
    x = 2,234.85

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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.