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Finding the Fourth Proportional to 3,833.74, 5,746.49 and 2,737.54

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Solution

The fourth proportional to 3,833.74, 5,746.49 and 2,737.54 is: 4,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.74 : 5,746.49 = 2,737.54 : x
  2. Step 2: Convert to fraction form
    3,833.74/5,746.49 = 2,737.54/x
  3. Step 3: Cross multiply
    3,833.74x = 5,746.49 × 2,737.54
  4. Step 4: Simplify right side
    3,833.74x = 15,731,246.23
  5. Step 5: Solve for x
    x = 15,731,246.23/3,833.74
  6. Step 6: Final answer
    x = 4,103.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.