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Finding the Fourth Proportional to 3,809.45, 5,714.20 and 2,494.31

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Solution

The fourth proportional to 3,809.45, 5,714.20 and 2,494.31 is: 3,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.45 : 5,714.20 = 2,494.31 : x
  2. Step 2: Convert to fraction form
    3,809.45/5,714.20 = 2,494.31/x
  3. Step 3: Cross multiply
    3,809.45x = 5,714.20 × 2,494.31
  4. Step 4: Simplify right side
    3,809.45x = 14,252,986.20
  5. Step 5: Solve for x
    x = 14,252,986.20/3,809.45
  6. Step 6: Final answer
    x = 3,741.48

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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.