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Finding the Fourth Proportional to 5,842.60, 8,763.98 and 2,721.72

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Solution

The fourth proportional to 5,842.60, 8,763.98 and 2,721.72 is: 4,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.60 : 8,763.98 = 2,721.72 : x
  2. Step 2: Convert to fraction form
    5,842.60/8,763.98 = 2,721.72/x
  3. Step 3: Cross multiply
    5,842.60x = 8,763.98 × 2,721.72
  4. Step 4: Simplify right side
    5,842.60x = 23,853,099.65
  5. Step 5: Solve for x
    x = 23,853,099.65/5,842.60
  6. Step 6: Final answer
    x = 4,082.62

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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.