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Finding the Fourth Proportional to 5,138.87, 7,704.90 and 2,016.95

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Solution

The fourth proportional to 5,138.87, 7,704.90 and 2,016.95 is: 3,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.87 : 7,704.90 = 2,016.95 : x
  2. Step 2: Convert to fraction form
    5,138.87/7,704.90 = 2,016.95/x
  3. Step 3: Cross multiply
    5,138.87x = 7,704.90 × 2,016.95
  4. Step 4: Simplify right side
    5,138.87x = 15,540,359.53
  5. Step 5: Solve for x
    x = 15,540,359.53/5,138.87
  6. Step 6: Final answer
    x = 3,024.08

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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.