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Finding the Fourth Proportional to 3,426.87, 5,140.31 and 2,194.86

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Solution

The fourth proportional to 3,426.87, 5,140.31 and 2,194.86 is: 3,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.87 : 5,140.31 = 2,194.86 : x
  2. Step 2: Convert to fraction form
    3,426.87/5,140.31 = 2,194.86/x
  3. Step 3: Cross multiply
    3,426.87x = 5,140.31 × 2,194.86
  4. Step 4: Simplify right side
    3,426.87x = 11,282,260.81
  5. Step 5: Solve for x
    x = 11,282,260.81/3,426.87
  6. Step 6: Final answer
    x = 3,292.29

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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.