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Finding the Fourth Proportional to 3,166.87, 4,371.50 and 2,834.71

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Solution

The fourth proportional to 3,166.87, 4,371.50 and 2,834.71 is: 3,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.87 : 4,371.50 = 2,834.71 : x
  2. Step 2: Convert to fraction form
    3,166.87/4,371.50 = 2,834.71/x
  3. Step 3: Cross multiply
    3,166.87x = 4,371.50 × 2,834.71
  4. Step 4: Simplify right side
    3,166.87x = 12,391,934.77
  5. Step 5: Solve for x
    x = 12,391,934.77/3,166.87
  6. Step 6: Final answer
    x = 3,912.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.