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Finding the Fourth Proportional to 3,809.65, 5,717.03 and 1,344.48

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Solution

The fourth proportional to 3,809.65, 5,717.03 and 1,344.48 is: 2,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.65 : 5,717.03 = 1,344.48 : x
  2. Step 2: Convert to fraction form
    3,809.65/5,717.03 = 1,344.48/x
  3. Step 3: Cross multiply
    3,809.65x = 5,717.03 × 1,344.48
  4. Step 4: Simplify right side
    3,809.65x = 7,686,432.49
  5. Step 5: Solve for x
    x = 7,686,432.49/3,809.65
  6. Step 6: Final answer
    x = 2,017.62

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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.