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Finding the Fourth Proportional to 3,806.48, 5,711.34 and 1,616.78

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Solution

The fourth proportional to 3,806.48, 5,711.34 and 1,616.78 is: 2,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.48 : 5,711.34 = 1,616.78 : x
  2. Step 2: Convert to fraction form
    3,806.48/5,711.34 = 1,616.78/x
  3. Step 3: Cross multiply
    3,806.48x = 5,711.34 × 1,616.78
  4. Step 4: Simplify right side
    3,806.48x = 9,233,980.29
  5. Step 5: Solve for x
    x = 9,233,980.29/3,806.48
  6. Step 6: Final answer
    x = 2,425.86

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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.