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Finding the Fourth Proportional to 3,428.94, 5,138.02 and 2,650.85

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Solution

The fourth proportional to 3,428.94, 5,138.02 and 2,650.85 is: 3,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.94 : 5,138.02 = 2,650.85 : x
  2. Step 2: Convert to fraction form
    3,428.94/5,138.02 = 2,650.85/x
  3. Step 3: Cross multiply
    3,428.94x = 5,138.02 × 2,650.85
  4. Step 4: Simplify right side
    3,428.94x = 13,620,116.75
  5. Step 5: Solve for x
    x = 13,620,116.75/3,428.94
  6. Step 6: Final answer
    x = 3,972.11

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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.