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Finding the Fourth Proportional to 3,981.18, 5,972.72 and 1,348.64

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Solution

The fourth proportional to 3,981.18, 5,972.72 and 1,348.64 is: 2,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.18 : 5,972.72 = 1,348.64 : x
  2. Step 2: Convert to fraction form
    3,981.18/5,972.72 = 1,348.64/x
  3. Step 3: Cross multiply
    3,981.18x = 5,972.72 × 1,348.64
  4. Step 4: Simplify right side
    3,981.18x = 8,055,012.49
  5. Step 5: Solve for x
    x = 8,055,012.49/3,981.18
  6. Step 6: Final answer
    x = 2,023.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.