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Finding the Fourth Proportional to 5,869.50, 8,798.31 and 3,679.76

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Solution

The fourth proportional to 5,869.50, 8,798.31 and 3,679.76 is: 5,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.50 : 8,798.31 = 3,679.76 : x
  2. Step 2: Convert to fraction form
    5,869.50/8,798.31 = 3,679.76/x
  3. Step 3: Cross multiply
    5,869.50x = 8,798.31 × 3,679.76
  4. Step 4: Simplify right side
    5,869.50x = 32,375,669.21
  5. Step 5: Solve for x
    x = 32,375,669.21/5,869.50
  6. Step 6: Final answer
    x = 5,515.92

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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.