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Finding the Fourth Proportional to 5,193.88, 7,793.94 and 2,073.24

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Solution

The fourth proportional to 5,193.88, 7,793.94 and 2,073.24 is: 3,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.88 : 7,793.94 = 2,073.24 : x
  2. Step 2: Convert to fraction form
    5,193.88/7,793.94 = 2,073.24/x
  3. Step 3: Cross multiply
    5,193.88x = 7,793.94 × 2,073.24
  4. Step 4: Simplify right side
    5,193.88x = 16,158,708.17
  5. Step 5: Solve for x
    x = 16,158,708.17/5,193.88
  6. Step 6: Final answer
    x = 3,111.11

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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.