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Finding the Fourth Proportional to 5,821.76, 8,735.16 and 3,049.76

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Solution

The fourth proportional to 5,821.76, 8,735.16 and 3,049.76 is: 4,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.76 : 8,735.16 = 3,049.76 : x
  2. Step 2: Convert to fraction form
    5,821.76/8,735.16 = 3,049.76/x
  3. Step 3: Cross multiply
    5,821.76x = 8,735.16 × 3,049.76
  4. Step 4: Simplify right side
    5,821.76x = 26,640,141.56
  5. Step 5: Solve for x
    x = 26,640,141.56/5,821.76
  6. Step 6: Final answer
    x = 4,575.96

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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.