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Finding the Fourth Proportional to 3,919.92, 5,882.04 and 2,382

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Solution

The fourth proportional to 3,919.92, 5,882.04 and 2,382 is: 3,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.92 : 5,882.04 = 2,382 : x
  2. Step 2: Convert to fraction form
    3,919.92/5,882.04 = 2,382/x
  3. Step 3: Cross multiply
    3,919.92x = 5,882.04 × 2,382
  4. Step 4: Simplify right side
    3,919.92x = 14,011,019.28
  5. Step 5: Solve for x
    x = 14,011,019.28/3,919.92
  6. Step 6: Final answer
    x = 3,574.31

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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.