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Finding the Fourth Proportional to 5,643.14, 8,466.86 and 2,721.20

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Solution

The fourth proportional to 5,643.14, 8,466.86 and 2,721.20 is: 4,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.14 : 8,466.86 = 2,721.20 : x
  2. Step 2: Convert to fraction form
    5,643.14/8,466.86 = 2,721.20/x
  3. Step 3: Cross multiply
    5,643.14x = 8,466.86 × 2,721.20
  4. Step 4: Simplify right side
    5,643.14x = 23,039,983.90
  5. Step 5: Solve for x
    x = 23,039,983.90/5,643.14
  6. Step 6: Final answer
    x = 4,082.83

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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.