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Finding the Fourth Proportional to 5,294.97, 7,940.03 and 2,373.20

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Solution

The fourth proportional to 5,294.97, 7,940.03 and 2,373.20 is: 3,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.97 : 7,940.03 = 2,373.20 : x
  2. Step 2: Convert to fraction form
    5,294.97/7,940.03 = 2,373.20/x
  3. Step 3: Cross multiply
    5,294.97x = 7,940.03 × 2,373.20
  4. Step 4: Simplify right side
    5,294.97x = 18,843,257.40
  5. Step 5: Solve for x
    x = 18,843,257.40/5,294.97
  6. Step 6: Final answer
    x = 3,558.71

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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.