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Finding the Fourth Proportional to 5,195.37, 7,793.06 and 2,272.89

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Solution

The fourth proportional to 5,195.37, 7,793.06 and 2,272.89 is: 3,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.37 : 7,793.06 = 2,272.89 : x
  2. Step 2: Convert to fraction form
    5,195.37/7,793.06 = 2,272.89/x
  3. Step 3: Cross multiply
    5,195.37x = 7,793.06 × 2,272.89
  4. Step 4: Simplify right side
    5,195.37x = 17,712,756.78
  5. Step 5: Solve for x
    x = 17,712,756.78/5,195.37
  6. Step 6: Final answer
    x = 3,409.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.