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Finding the Fourth Proportional to 4,151.49, 5,729.19 and 2,383.44

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Solution

The fourth proportional to 4,151.49, 5,729.19 and 2,383.44 is: 3,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.49 : 5,729.19 = 2,383.44 : x
  2. Step 2: Convert to fraction form
    4,151.49/5,729.19 = 2,383.44/x
  3. Step 3: Cross multiply
    4,151.49x = 5,729.19 × 2,383.44
  4. Step 4: Simplify right side
    4,151.49x = 13,655,180.61
  5. Step 5: Solve for x
    x = 13,655,180.61/4,151.49
  6. Step 6: Final answer
    x = 3,289.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.