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Finding the Fourth Proportional to 3,981.92, 5,495.24 and 2,213.48

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Solution

The fourth proportional to 3,981.92, 5,495.24 and 2,213.48 is: 3,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.92 : 5,495.24 = 2,213.48 : x
  2. Step 2: Convert to fraction form
    3,981.92/5,495.24 = 2,213.48/x
  3. Step 3: Cross multiply
    3,981.92x = 5,495.24 × 2,213.48
  4. Step 4: Simplify right side
    3,981.92x = 12,163,623.11
  5. Step 5: Solve for x
    x = 12,163,623.11/3,981.92
  6. Step 6: Final answer
    x = 3,054.72

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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.