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Finding the Fourth Proportional to 5,101.92, 7,040.99 and 2,833.38

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Solution

The fourth proportional to 5,101.92, 7,040.99 and 2,833.38 is: 3,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.92 : 7,040.99 = 2,833.38 : x
  2. Step 2: Convert to fraction form
    5,101.92/7,040.99 = 2,833.38/x
  3. Step 3: Cross multiply
    5,101.92x = 7,040.99 × 2,833.38
  4. Step 4: Simplify right side
    5,101.92x = 19,949,807.33
  5. Step 5: Solve for x
    x = 19,949,807.33/5,101.92
  6. Step 6: Final answer
    x = 3,910.25

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Why These Related Problems?

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