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Finding the Fourth Proportional to 3,838.40, 5,294.16 and 2,843.72

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Solution

The fourth proportional to 3,838.40, 5,294.16 and 2,843.72 is: 3,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.40 : 5,294.16 = 2,843.72 : x
  2. Step 2: Convert to fraction form
    3,838.40/5,294.16 = 2,843.72/x
  3. Step 3: Cross multiply
    3,838.40x = 5,294.16 × 2,843.72
  4. Step 4: Simplify right side
    3,838.40x = 15,055,108.68
  5. Step 5: Solve for x
    x = 15,055,108.68/3,838.40
  6. Step 6: Final answer
    x = 3,922.24

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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.