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Finding the Fourth Proportional to 3,871.35, 5,809.25 and 1,680.30

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Solution

The fourth proportional to 3,871.35, 5,809.25 and 1,680.30 is: 2,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.35 : 5,809.25 = 1,680.30 : x
  2. Step 2: Convert to fraction form
    3,871.35/5,809.25 = 1,680.30/x
  3. Step 3: Cross multiply
    3,871.35x = 5,809.25 × 1,680.30
  4. Step 4: Simplify right side
    3,871.35x = 9,761,282.78
  5. Step 5: Solve for x
    x = 9,761,282.78/3,871.35
  6. Step 6: Final answer
    x = 2,521.42

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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.