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Finding the Fourth Proportional to 4,100.71, 5,658.42 and 2,331.98

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Solution

The fourth proportional to 4,100.71, 5,658.42 and 2,331.98 is: 3,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.71 : 5,658.42 = 2,331.98 : x
  2. Step 2: Convert to fraction form
    4,100.71/5,658.42 = 2,331.98/x
  3. Step 3: Cross multiply
    4,100.71x = 5,658.42 × 2,331.98
  4. Step 4: Simplify right side
    4,100.71x = 13,195,322.27
  5. Step 5: Solve for x
    x = 13,195,322.27/4,100.71
  6. Step 6: Final answer
    x = 3,217.81

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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.