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Finding the Fourth Proportional to 3,870.32, 5,805.48 and 2,721.20

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Solution

The fourth proportional to 3,870.32, 5,805.48 and 2,721.20 is: 4,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.32 : 5,805.48 = 2,721.20 : x
  2. Step 2: Convert to fraction form
    3,870.32/5,805.48 = 2,721.20/x
  3. Step 3: Cross multiply
    3,870.32x = 5,805.48 × 2,721.20
  4. Step 4: Simplify right side
    3,870.32x = 15,797,872.18
  5. Step 5: Solve for x
    x = 15,797,872.18/3,870.32
  6. Step 6: Final answer
    x = 4,081.80

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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.