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Finding the Fourth Proportional to 3,882.64, 5,359.08 and 2,390.80

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Solution

The fourth proportional to 3,882.64, 5,359.08 and 2,390.80 is: 3,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.64 : 5,359.08 = 2,390.80 : x
  2. Step 2: Convert to fraction form
    3,882.64/5,359.08 = 2,390.80/x
  3. Step 3: Cross multiply
    3,882.64x = 5,359.08 × 2,390.80
  4. Step 4: Simplify right side
    3,882.64x = 12,812,488.46
  5. Step 5: Solve for x
    x = 12,812,488.46/3,882.64
  6. Step 6: Final answer
    x = 3,299.94

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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.