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Finding the Fourth Proportional to 3,714.28, 5,570.72 and 1,864.88

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Solution

The fourth proportional to 3,714.28, 5,570.72 and 1,864.88 is: 2,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.28 : 5,570.72 = 1,864.88 : x
  2. Step 2: Convert to fraction form
    3,714.28/5,570.72 = 1,864.88/x
  3. Step 3: Cross multiply
    3,714.28x = 5,570.72 × 1,864.88
  4. Step 4: Simplify right side
    3,714.28x = 10,388,724.31
  5. Step 5: Solve for x
    x = 10,388,724.31/3,714.28
  6. Step 6: Final answer
    x = 2,796.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.