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Finding the Fourth Proportional to 3,808.49, 5,711.20 and 1,342.75

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Solution

The fourth proportional to 3,808.49, 5,711.20 and 1,342.75 is: 2,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.49 : 5,711.20 = 1,342.75 : x
  2. Step 2: Convert to fraction form
    3,808.49/5,711.20 = 1,342.75/x
  3. Step 3: Cross multiply
    3,808.49x = 5,711.20 × 1,342.75
  4. Step 4: Simplify right side
    3,808.49x = 7,668,713.80
  5. Step 5: Solve for x
    x = 7,668,713.80/3,808.49
  6. Step 6: Final answer
    x = 2,013.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.