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Finding the Fourth Proportional to 4,274.36, 5,894.92 and 2,781.72

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Solution

The fourth proportional to 4,274.36, 5,894.92 and 2,781.72 is: 3,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.36 : 5,894.92 = 2,781.72 : x
  2. Step 2: Convert to fraction form
    4,274.36/5,894.92 = 2,781.72/x
  3. Step 3: Cross multiply
    4,274.36x = 5,894.92 × 2,781.72
  4. Step 4: Simplify right side
    4,274.36x = 16,398,016.86
  5. Step 5: Solve for x
    x = 16,398,016.86/4,274.36
  6. Step 6: Final answer
    x = 3,836.37

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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.