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Finding the Fourth Proportional to 3,908.16, 5,863.20 and 2,178.24

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Solution

The fourth proportional to 3,908.16, 5,863.20 and 2,178.24 is: 3,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.16 : 5,863.20 = 2,178.24 : x
  2. Step 2: Convert to fraction form
    3,908.16/5,863.20 = 2,178.24/x
  3. Step 3: Cross multiply
    3,908.16x = 5,863.20 × 2,178.24
  4. Step 4: Simplify right side
    3,908.16x = 12,771,456.77
  5. Step 5: Solve for x
    x = 12,771,456.77/3,908.16
  6. Step 6: Final answer
    x = 3,267.90

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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.