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Finding the Fourth Proportional to 5,800.50, 8,689.23 and 2,869.86

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Solution

The fourth proportional to 5,800.50, 8,689.23 and 2,869.86 is: 4,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.50 : 8,689.23 = 2,869.86 : x
  2. Step 2: Convert to fraction form
    5,800.50/8,689.23 = 2,869.86/x
  3. Step 3: Cross multiply
    5,800.50x = 8,689.23 × 2,869.86
  4. Step 4: Simplify right side
    5,800.50x = 24,936,873.61
  5. Step 5: Solve for x
    x = 24,936,873.61/5,800.50
  6. Step 6: Final answer
    x = 4,299.09

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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.