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Finding the Fourth Proportional to 5,301.70, 7,954.26 and 3,195.61

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Solution

The fourth proportional to 5,301.70, 7,954.26 and 3,195.61 is: 4,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.70 : 7,954.26 = 3,195.61 : x
  2. Step 2: Convert to fraction form
    5,301.70/7,954.26 = 3,195.61/x
  3. Step 3: Cross multiply
    5,301.70x = 7,954.26 × 3,195.61
  4. Step 4: Simplify right side
    5,301.70x = 25,418,712.80
  5. Step 5: Solve for x
    x = 25,418,712.80/5,301.70
  6. Step 6: Final answer
    x = 4,794.45

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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.