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Finding the Fourth Proportional to 4,100.46, 5,659.11 and 2,332.32

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Solution

The fourth proportional to 4,100.46, 5,659.11 and 2,332.32 is: 3,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.46 : 5,659.11 = 2,332.32 : x
  2. Step 2: Convert to fraction form
    4,100.46/5,659.11 = 2,332.32/x
  3. Step 3: Cross multiply
    4,100.46x = 5,659.11 × 2,332.32
  4. Step 4: Simplify right side
    4,100.46x = 13,198,855.44
  5. Step 5: Solve for x
    x = 13,198,855.44/4,100.46
  6. Step 6: Final answer
    x = 3,218.87

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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.