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Finding the Fourth Proportional to 3,681.92, 5,524.32 and 2,297.36

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Solution

The fourth proportional to 3,681.92, 5,524.32 and 2,297.36 is: 3,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.92 : 5,524.32 = 2,297.36 : x
  2. Step 2: Convert to fraction form
    3,681.92/5,524.32 = 2,297.36/x
  3. Step 3: Cross multiply
    3,681.92x = 5,524.32 × 2,297.36
  4. Step 4: Simplify right side
    3,681.92x = 12,691,351.80
  5. Step 5: Solve for x
    x = 12,691,351.80/3,681.92
  6. Step 6: Final answer
    x = 3,446.94

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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.