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Finding the Fourth Proportional to 4,871.58, 6,722.64 and 2,882.14

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Solution

The fourth proportional to 4,871.58, 6,722.64 and 2,882.14 is: 3,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.58 : 6,722.64 = 2,882.14 : x
  2. Step 2: Convert to fraction form
    4,871.58/6,722.64 = 2,882.14/x
  3. Step 3: Cross multiply
    4,871.58x = 6,722.64 × 2,882.14
  4. Step 4: Simplify right side
    4,871.58x = 19,375,589.65
  5. Step 5: Solve for x
    x = 19,375,589.65/4,871.58
  6. Step 6: Final answer
    x = 3,977.27

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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.