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Finding the Fourth Proportional to 5,909.76, 8,872.74 and 3,711.96

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Solution

The fourth proportional to 5,909.76, 8,872.74 and 3,711.96 is: 5,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.76 : 8,872.74 = 3,711.96 : x
  2. Step 2: Convert to fraction form
    5,909.76/8,872.74 = 3,711.96/x
  3. Step 3: Cross multiply
    5,909.76x = 8,872.74 × 3,711.96
  4. Step 4: Simplify right side
    5,909.76x = 32,935,255.97
  5. Step 5: Solve for x
    x = 32,935,255.97/5,909.76
  6. Step 6: Final answer
    x = 5,573.03

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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.