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Finding the Fourth Proportional to 4,100.71, 5,658.50 and 2,331.94

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Solution

The fourth proportional to 4,100.71, 5,658.50 and 2,331.94 is: 3,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.71 : 5,658.50 = 2,331.94 : x
  2. Step 2: Convert to fraction form
    4,100.71/5,658.50 = 2,331.94/x
  3. Step 3: Cross multiply
    4,100.71x = 5,658.50 × 2,331.94
  4. Step 4: Simplify right side
    4,100.71x = 13,195,282.49
  5. Step 5: Solve for x
    x = 13,195,282.49/4,100.71
  6. Step 6: Final answer
    x = 3,217.80

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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.