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Finding the Fourth Proportional to 4,138.17, 6,173.67 and 3,799.47

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Solution

The fourth proportional to 4,138.17, 6,173.67 and 3,799.47 is: 5,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.17 : 6,173.67 = 3,799.47 : x
  2. Step 2: Convert to fraction form
    4,138.17/6,173.67 = 3,799.47/x
  3. Step 3: Cross multiply
    4,138.17x = 6,173.67 × 3,799.47
  4. Step 4: Simplify right side
    4,138.17x = 23,456,673.95
  5. Step 5: Solve for x
    x = 23,456,673.95/4,138.17
  6. Step 6: Final answer
    x = 5,668.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.