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Finding the Fourth Proportional to 3,714.70, 5,126.98 and 2,121.34

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Solution

The fourth proportional to 3,714.70, 5,126.98 and 2,121.34 is: 2,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.70 : 5,126.98 = 2,121.34 : x
  2. Step 2: Convert to fraction form
    3,714.70/5,126.98 = 2,121.34/x
  3. Step 3: Cross multiply
    3,714.70x = 5,126.98 × 2,121.34
  4. Step 4: Simplify right side
    3,714.70x = 10,876,067.75
  5. Step 5: Solve for x
    x = 10,876,067.75/3,714.70
  6. Step 6: Final answer
    x = 2,927.85

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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.