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Finding the Fourth Proportional to 5,922.98, 8,882.95 and 1,761.91

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Solution

The fourth proportional to 5,922.98, 8,882.95 and 1,761.91 is: 2,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.98 : 8,882.95 = 1,761.91 : x
  2. Step 2: Convert to fraction form
    5,922.98/8,882.95 = 1,761.91/x
  3. Step 3: Cross multiply
    5,922.98x = 8,882.95 × 1,761.91
  4. Step 4: Simplify right side
    5,922.98x = 15,650,958.43
  5. Step 5: Solve for x
    x = 15,650,958.43/5,922.98
  6. Step 6: Final answer
    x = 2,642.41

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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.