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Finding the Fourth Proportional to 3,916.92, 5,410.11 and 2,853

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Solution

The fourth proportional to 3,916.92, 5,410.11 and 2,853 is: 3,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.92 : 5,410.11 = 2,853 : x
  2. Step 2: Convert to fraction form
    3,916.92/5,410.11 = 2,853/x
  3. Step 3: Cross multiply
    3,916.92x = 5,410.11 × 2,853
  4. Step 4: Simplify right side
    3,916.92x = 15,435,043.83
  5. Step 5: Solve for x
    x = 15,435,043.83/3,916.92
  6. Step 6: Final answer
    x = 3,940.61

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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.