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Finding the Fourth Proportional to 3,825.43, 5,714.90 and 2,427.57

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Solution

The fourth proportional to 3,825.43, 5,714.90 and 2,427.57 is: 3,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.43 : 5,714.90 = 2,427.57 : x
  2. Step 2: Convert to fraction form
    3,825.43/5,714.90 = 2,427.57/x
  3. Step 3: Cross multiply
    3,825.43x = 5,714.90 × 2,427.57
  4. Step 4: Simplify right side
    3,825.43x = 13,873,330.41
  5. Step 5: Solve for x
    x = 13,873,330.41/3,825.43
  6. Step 6: Final answer
    x = 3,626.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.