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Finding the Fourth Proportional to 3,714.28, 5,125.72 and 2,035.75

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Solution

The fourth proportional to 3,714.28, 5,125.72 and 2,035.75 is: 2,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.28 : 5,125.72 = 2,035.75 : x
  2. Step 2: Convert to fraction form
    3,714.28/5,125.72 = 2,035.75/x
  3. Step 3: Cross multiply
    3,714.28x = 5,125.72 × 2,035.75
  4. Step 4: Simplify right side
    3,714.28x = 10,434,694.43
  5. Step 5: Solve for x
    x = 10,434,694.43/3,714.28
  6. Step 6: Final answer
    x = 2,809.34

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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.