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Finding the Fourth Proportional to 3,908.16, 5,862.24 and 3,648.96

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Solution

The fourth proportional to 3,908.16, 5,862.24 and 3,648.96 is: 5,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.16 : 5,862.24 = 3,648.96 : x
  2. Step 2: Convert to fraction form
    3,908.16/5,862.24 = 3,648.96/x
  3. Step 3: Cross multiply
    3,908.16x = 5,862.24 × 3,648.96
  4. Step 4: Simplify right side
    3,908.16x = 21,391,079.27
  5. Step 5: Solve for x
    x = 21,391,079.27/3,908.16
  6. Step 6: Final answer
    x = 5,473.44

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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.