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Finding the Fourth Proportional to 4,138.96, 6,200.08 and 2,052.68

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Solution

The fourth proportional to 4,138.96, 6,200.08 and 2,052.68 is: 3,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.96 : 6,200.08 = 2,052.68 : x
  2. Step 2: Convert to fraction form
    4,138.96/6,200.08 = 2,052.68/x
  3. Step 3: Cross multiply
    4,138.96x = 6,200.08 × 2,052.68
  4. Step 4: Simplify right side
    4,138.96x = 12,726,780.21
  5. Step 5: Solve for x
    x = 12,726,780.21/4,138.96
  6. Step 6: Final answer
    x = 3,074.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.