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Finding the Fourth Proportional to 3,983.34, 5,497.68 and 2,304.46

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Solution

The fourth proportional to 3,983.34, 5,497.68 and 2,304.46 is: 3,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.34 : 5,497.68 = 2,304.46 : x
  2. Step 2: Convert to fraction form
    3,983.34/5,497.68 = 2,304.46/x
  3. Step 3: Cross multiply
    3,983.34x = 5,497.68 × 2,304.46
  4. Step 4: Simplify right side
    3,983.34x = 12,669,183.65
  5. Step 5: Solve for x
    x = 12,669,183.65/3,983.34
  6. Step 6: Final answer
    x = 3,180.54

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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.