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Finding the Fourth Proportional to 3,748.50, 5,170.78 and 2,738.92

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Solution

The fourth proportional to 3,748.50, 5,170.78 and 2,738.92 is: 3,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.50 : 5,170.78 = 2,738.92 : x
  2. Step 2: Convert to fraction form
    3,748.50/5,170.78 = 2,738.92/x
  3. Step 3: Cross multiply
    3,748.50x = 5,170.78 × 2,738.92
  4. Step 4: Simplify right side
    3,748.50x = 14,162,352.76
  5. Step 5: Solve for x
    x = 14,162,352.76/3,748.50
  6. Step 6: Final answer
    x = 3,778.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.