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Finding the Fourth Proportional to 5,825.76, 8,737.11 and 3,976.53

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Solution

The fourth proportional to 5,825.76, 8,737.11 and 3,976.53 is: 5,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.76 : 8,737.11 = 3,976.53 : x
  2. Step 2: Convert to fraction form
    5,825.76/8,737.11 = 3,976.53/x
  3. Step 3: Cross multiply
    5,825.76x = 8,737.11 × 3,976.53
  4. Step 4: Simplify right side
    5,825.76x = 34,743,380.03
  5. Step 5: Solve for x
    x = 34,743,380.03/5,825.76
  6. Step 6: Final answer
    x = 5,963.75

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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.