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Finding the Fourth Proportional to 5,909.60, 8,861.67 and 1,748.12

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Solution

The fourth proportional to 5,909.60, 8,861.67 and 1,748.12 is: 2,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.60 : 8,861.67 = 1,748.12 : x
  2. Step 2: Convert to fraction form
    5,909.60/8,861.67 = 1,748.12/x
  3. Step 3: Cross multiply
    5,909.60x = 8,861.67 × 1,748.12
  4. Step 4: Simplify right side
    5,909.60x = 15,491,218.25
  5. Step 5: Solve for x
    x = 15,491,218.25/5,909.60
  6. Step 6: Final answer
    x = 2,621.37

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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.