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Finding the Fourth Proportional to 2,974.87, 4,107.32 and 2,659.12

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Solution

The fourth proportional to 2,974.87, 4,107.32 and 2,659.12 is: 3,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.87 : 4,107.32 = 2,659.12 : x
  2. Step 2: Convert to fraction form
    2,974.87/4,107.32 = 2,659.12/x
  3. Step 3: Cross multiply
    2,974.87x = 4,107.32 × 2,659.12
  4. Step 4: Simplify right side
    2,974.87x = 10,921,856.76
  5. Step 5: Solve for x
    x = 10,921,856.76/2,974.87
  6. Step 6: Final answer
    x = 3,671.37

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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.