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Finding the Fourth Proportional to 5,937.89, 8,909.80 and 3,964.59

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Solution

The fourth proportional to 5,937.89, 8,909.80 and 3,964.59 is: 5,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.89 : 8,909.80 = 3,964.59 : x
  2. Step 2: Convert to fraction form
    5,937.89/8,909.80 = 3,964.59/x
  3. Step 3: Cross multiply
    5,937.89x = 8,909.80 × 3,964.59
  4. Step 4: Simplify right side
    5,937.89x = 35,323,694.07
  5. Step 5: Solve for x
    x = 35,323,694.07/5,937.89
  6. Step 6: Final answer
    x = 5,948.87

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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.