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Finding the Fourth Proportional to 3,714.67, 5,126.79 and 2,142.46

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Solution

The fourth proportional to 3,714.67, 5,126.79 and 2,142.46 is: 2,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.67 : 5,126.79 = 2,142.46 : x
  2. Step 2: Convert to fraction form
    3,714.67/5,126.79 = 2,142.46/x
  3. Step 3: Cross multiply
    3,714.67x = 5,126.79 × 2,142.46
  4. Step 4: Simplify right side
    3,714.67x = 10,983,942.50
  5. Step 5: Solve for x
    x = 10,983,942.50/3,714.67
  6. Step 6: Final answer
    x = 2,956.91

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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.