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Finding the Fourth Proportional to 3,134.87, 4,704.25 and 2,842.90

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Solution

The fourth proportional to 3,134.87, 4,704.25 and 2,842.90 is: 4,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.87 : 4,704.25 = 2,842.90 : x
  2. Step 2: Convert to fraction form
    3,134.87/4,704.25 = 2,842.90/x
  3. Step 3: Cross multiply
    3,134.87x = 4,704.25 × 2,842.90
  4. Step 4: Simplify right side
    3,134.87x = 13,373,688.80
  5. Step 5: Solve for x
    x = 13,373,688.80/3,134.87
  6. Step 6: Final answer
    x = 4,266.11

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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.