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Finding the Fourth Proportional to 3,164.27, 4,746.96 and 1,083.78

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Solution

The fourth proportional to 3,164.27, 4,746.96 and 1,083.78 is: 1,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.27 : 4,746.96 = 1,083.78 : x
  2. Step 2: Convert to fraction form
    3,164.27/4,746.96 = 1,083.78/x
  3. Step 3: Cross multiply
    3,164.27x = 4,746.96 × 1,083.78
  4. Step 4: Simplify right side
    3,164.27x = 5,144,660.31
  5. Step 5: Solve for x
    x = 5,144,660.31/3,164.27
  6. Step 6: Final answer
    x = 1,625.86

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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.