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Finding the Fourth Proportional to 5,138.80, 7,714.82 and 2,675.32

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Solution

The fourth proportional to 5,138.80, 7,714.82 and 2,675.32 is: 4,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.80 : 7,714.82 = 2,675.32 : x
  2. Step 2: Convert to fraction form
    5,138.80/7,714.82 = 2,675.32/x
  3. Step 3: Cross multiply
    5,138.80x = 7,714.82 × 2,675.32
  4. Step 4: Simplify right side
    5,138.80x = 20,639,612.24
  5. Step 5: Solve for x
    x = 20,639,612.24/5,138.80
  6. Step 6: Final answer
    x = 4,016.43

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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.