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Finding the Fourth Proportional to 3,679.68, 5,521.92 and 1,370.88

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Solution

The fourth proportional to 3,679.68, 5,521.92 and 1,370.88 is: 2,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.68 : 5,521.92 = 1,370.88 : x
  2. Step 2: Convert to fraction form
    3,679.68/5,521.92 = 1,370.88/x
  3. Step 3: Cross multiply
    3,679.68x = 5,521.92 × 1,370.88
  4. Step 4: Simplify right side
    3,679.68x = 7,569,889.69
  5. Step 5: Solve for x
    x = 7,569,889.69/3,679.68
  6. Step 6: Final answer
    x = 2,057.21

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Why These Related Problems?

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