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Finding the Fourth Proportional to 3,714.36, 5,125.46 and 2,142.96

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Solution

The fourth proportional to 3,714.36, 5,125.46 and 2,142.96 is: 2,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.36 : 5,125.46 = 2,142.96 : x
  2. Step 2: Convert to fraction form
    3,714.36/5,125.46 = 2,142.96/x
  3. Step 3: Cross multiply
    3,714.36x = 5,125.46 × 2,142.96
  4. Step 4: Simplify right side
    3,714.36x = 10,983,645.05
  5. Step 5: Solve for x
    x = 10,983,645.05/3,714.36
  6. Step 6: Final answer
    x = 2,957.08

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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.