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Finding the Fourth Proportional to 5,432.90, 8,149.99 and 1,922.18

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Solution

The fourth proportional to 5,432.90, 8,149.99 and 1,922.18 is: 2,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.90 : 8,149.99 = 1,922.18 : x
  2. Step 2: Convert to fraction form
    5,432.90/8,149.99 = 1,922.18/x
  3. Step 3: Cross multiply
    5,432.90x = 8,149.99 × 1,922.18
  4. Step 4: Simplify right side
    5,432.90x = 15,665,747.78
  5. Step 5: Solve for x
    x = 15,665,747.78/5,432.90
  6. Step 6: Final answer
    x = 2,883.50

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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.