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Finding the Fourth Proportional to 3,711.84, 5,123.06 and 2,452.96

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Solution

The fourth proportional to 3,711.84, 5,123.06 and 2,452.96 is: 3,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.84 : 5,123.06 = 2,452.96 : x
  2. Step 2: Convert to fraction form
    3,711.84/5,123.06 = 2,452.96/x
  3. Step 3: Cross multiply
    3,711.84x = 5,123.06 × 2,452.96
  4. Step 4: Simplify right side
    3,711.84x = 12,566,661.26
  5. Step 5: Solve for x
    x = 12,566,661.26/3,711.84
  6. Step 6: Final answer
    x = 3,385.56

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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.