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Finding the Fourth Proportional to 3,923.84, 5,412 and 2,524.16

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Solution

The fourth proportional to 3,923.84, 5,412 and 2,524.16 is: 3,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.84 : 5,412 = 2,524.16 : x
  2. Step 2: Convert to fraction form
    3,923.84/5,412 = 2,524.16/x
  3. Step 3: Cross multiply
    3,923.84x = 5,412 × 2,524.16
  4. Step 4: Simplify right side
    3,923.84x = 13,660,753.92
  5. Step 5: Solve for x
    x = 13,660,753.92/3,923.84
  6. Step 6: Final answer
    x = 3,481.48

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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.