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Finding the Fourth Proportional to 3,894.31, 5,843.67 and 1,428.79

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Solution

The fourth proportional to 3,894.31, 5,843.67 and 1,428.79 is: 2,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.31 : 5,843.67 = 1,428.79 : x
  2. Step 2: Convert to fraction form
    3,894.31/5,843.67 = 1,428.79/x
  3. Step 3: Cross multiply
    3,894.31x = 5,843.67 × 1,428.79
  4. Step 4: Simplify right side
    3,894.31x = 8,349,377.26
  5. Step 5: Solve for x
    x = 8,349,377.26/3,894.31
  6. Step 6: Final answer
    x = 2,143.99

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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.