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Finding the Fourth Proportional to 4,151.87, 5,725.19 and 2,659.85

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Solution

The fourth proportional to 4,151.87, 5,725.19 and 2,659.85 is: 3,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.87 : 5,725.19 = 2,659.85 : x
  2. Step 2: Convert to fraction form
    4,151.87/5,725.19 = 2,659.85/x
  3. Step 3: Cross multiply
    4,151.87x = 5,725.19 × 2,659.85
  4. Step 4: Simplify right side
    4,151.87x = 15,228,133.32
  5. Step 5: Solve for x
    x = 15,228,133.32/4,151.87
  6. Step 6: Final answer
    x = 3,667.78

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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.