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Finding the Fourth Proportional to 5,882.66, 8,825.44 and 2,922.49

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Solution

The fourth proportional to 5,882.66, 8,825.44 and 2,922.49 is: 4,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.66 : 8,825.44 = 2,922.49 : x
  2. Step 2: Convert to fraction form
    5,882.66/8,825.44 = 2,922.49/x
  3. Step 3: Cross multiply
    5,882.66x = 8,825.44 × 2,922.49
  4. Step 4: Simplify right side
    5,882.66x = 25,792,260.15
  5. Step 5: Solve for x
    x = 25,792,260.15/5,882.66
  6. Step 6: Final answer
    x = 4,384.46

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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.