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Finding the Fourth Proportional to 3,139.46, 4,709.97 and 2,216.83

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Solution

The fourth proportional to 3,139.46, 4,709.97 and 2,216.83 is: 3,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.46 : 4,709.97 = 2,216.83 : x
  2. Step 2: Convert to fraction form
    3,139.46/4,709.97 = 2,216.83/x
  3. Step 3: Cross multiply
    3,139.46x = 4,709.97 × 2,216.83
  4. Step 4: Simplify right side
    3,139.46x = 10,441,191.02
  5. Step 5: Solve for x
    x = 10,441,191.02/3,139.46
  6. Step 6: Final answer
    x = 3,325.79

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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.