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Finding the Fourth Proportional to 5,842.76, 8,767.48 and 2,144.50

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Solution

The fourth proportional to 5,842.76, 8,767.48 and 2,144.50 is: 3,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.76 : 8,767.48 = 2,144.50 : x
  2. Step 2: Convert to fraction form
    5,842.76/8,767.48 = 2,144.50/x
  3. Step 3: Cross multiply
    5,842.76x = 8,767.48 × 2,144.50
  4. Step 4: Simplify right side
    5,842.76x = 18,801,860.86
  5. Step 5: Solve for x
    x = 18,801,860.86/5,842.76
  6. Step 6: Final answer
    x = 3,217.98

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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.