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Finding the Fourth Proportional to 4,254.64, 5,874.22 and 2,663.68

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Solution

The fourth proportional to 4,254.64, 5,874.22 and 2,663.68 is: 3,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.64 : 5,874.22 = 2,663.68 : x
  2. Step 2: Convert to fraction form
    4,254.64/5,874.22 = 2,663.68/x
  3. Step 3: Cross multiply
    4,254.64x = 5,874.22 × 2,663.68
  4. Step 4: Simplify right side
    4,254.64x = 15,647,042.33
  5. Step 5: Solve for x
    x = 15,647,042.33/4,254.64
  6. Step 6: Final answer
    x = 3,677.64

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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.