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Finding the Fourth Proportional to 5,314.92, 7,972.38 and 2,540.94

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Solution

The fourth proportional to 5,314.92, 7,972.38 and 2,540.94 is: 3,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.92 : 7,972.38 = 2,540.94 : x
  2. Step 2: Convert to fraction form
    5,314.92/7,972.38 = 2,540.94/x
  3. Step 3: Cross multiply
    5,314.92x = 7,972.38 × 2,540.94
  4. Step 4: Simplify right side
    5,314.92x = 20,257,339.24
  5. Step 5: Solve for x
    x = 20,257,339.24/5,314.92
  6. Step 6: Final answer
    x = 3,811.41

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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.