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Finding the Fourth Proportional to 5,921.84, 8,882.42 and 1,761.88

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Solution

The fourth proportional to 5,921.84, 8,882.42 and 1,761.88 is: 2,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.84 : 8,882.42 = 1,761.88 : x
  2. Step 2: Convert to fraction form
    5,921.84/8,882.42 = 1,761.88/x
  3. Step 3: Cross multiply
    5,921.84x = 8,882.42 × 1,761.88
  4. Step 4: Simplify right side
    5,921.84x = 15,649,758.15
  5. Step 5: Solve for x
    x = 15,649,758.15/5,921.84
  6. Step 6: Final answer
    x = 2,642.72

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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.