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Finding the Fourth Proportional to 3,714.03, 5,125.87 and 2,142.09

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Solution

The fourth proportional to 3,714.03, 5,125.87 and 2,142.09 is: 2,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.03 : 5,125.87 = 2,142.09 : x
  2. Step 2: Convert to fraction form
    3,714.03/5,125.87 = 2,142.09/x
  3. Step 3: Cross multiply
    3,714.03x = 5,125.87 × 2,142.09
  4. Step 4: Simplify right side
    3,714.03x = 10,980,074.87
  5. Step 5: Solve for x
    x = 10,980,074.87/3,714.03
  6. Step 6: Final answer
    x = 2,956.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.