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Finding the Fourth Proportional to 3,244.36, 4,859.24 and 2,274.78

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Solution

The fourth proportional to 3,244.36, 4,859.24 and 2,274.78 is: 3,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.36 : 4,859.24 = 2,274.78 : x
  2. Step 2: Convert to fraction form
    3,244.36/4,859.24 = 2,274.78/x
  3. Step 3: Cross multiply
    3,244.36x = 4,859.24 × 2,274.78
  4. Step 4: Simplify right side
    3,244.36x = 11,053,701.97
  5. Step 5: Solve for x
    x = 11,053,701.97/3,244.36
  6. Step 6: Final answer
    x = 3,407.05

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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.