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Finding the Fourth Proportional to 5,758.38, 8,638.50 and 1,861.86

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Solution

The fourth proportional to 5,758.38, 8,638.50 and 1,861.86 is: 2,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.38 : 8,638.50 = 1,861.86 : x
  2. Step 2: Convert to fraction form
    5,758.38/8,638.50 = 1,861.86/x
  3. Step 3: Cross multiply
    5,758.38x = 8,638.50 × 1,861.86
  4. Step 4: Simplify right side
    5,758.38x = 16,083,677.61
  5. Step 5: Solve for x
    x = 16,083,677.61/5,758.38
  6. Step 6: Final answer
    x = 2,793.09

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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.