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Finding the Fourth Proportional to 3,714.86, 5,126.64 and 2,142.56

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Solution

The fourth proportional to 3,714.86, 5,126.64 and 2,142.56 is: 2,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.86 : 5,126.64 = 2,142.56 : x
  2. Step 2: Convert to fraction form
    3,714.86/5,126.64 = 2,142.56/x
  3. Step 3: Cross multiply
    3,714.86x = 5,126.64 × 2,142.56
  4. Step 4: Simplify right side
    3,714.86x = 10,984,133.80
  5. Step 5: Solve for x
    x = 10,984,133.80/3,714.86
  6. Step 6: Final answer
    x = 2,956.81

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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.