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Finding the Fourth Proportional to 3,822.40, 5,267.78 and 2,981.78

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Solution

The fourth proportional to 3,822.40, 5,267.78 and 2,981.78 is: 4,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.40 : 5,267.78 = 2,981.78 : x
  2. Step 2: Convert to fraction form
    3,822.40/5,267.78 = 2,981.78/x
  3. Step 3: Cross multiply
    3,822.40x = 5,267.78 × 2,981.78
  4. Step 4: Simplify right side
    3,822.40x = 15,707,361.05
  5. Step 5: Solve for x
    x = 15,707,361.05/3,822.40
  6. Step 6: Final answer
    x = 4,109.29

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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.