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Finding the Fourth Proportional to 5,842.55, 8,764.99 and 2,144.82

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Solution

The fourth proportional to 5,842.55, 8,764.99 and 2,144.82 is: 3,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.55 : 8,764.99 = 2,144.82 : x
  2. Step 2: Convert to fraction form
    5,842.55/8,764.99 = 2,144.82/x
  3. Step 3: Cross multiply
    5,842.55x = 8,764.99 × 2,144.82
  4. Step 4: Simplify right side
    5,842.55x = 18,799,271.30
  5. Step 5: Solve for x
    x = 18,799,271.30/5,842.55
  6. Step 6: Final answer
    x = 3,217.65

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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.