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Finding the Fourth Proportional to 3,714.46, 5,126.71 and 2,142.34

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Solution

The fourth proportional to 3,714.46, 5,126.71 and 2,142.34 is: 2,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.46 : 5,126.71 = 2,142.34 : x
  2. Step 2: Convert to fraction form
    3,714.46/5,126.71 = 2,142.34/x
  3. Step 3: Cross multiply
    3,714.46x = 5,126.71 × 2,142.34
  4. Step 4: Simplify right side
    3,714.46x = 10,983,130.27
  5. Step 5: Solve for x
    x = 10,983,130.27/3,714.46
  6. Step 6: Final answer
    x = 2,956.86

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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.