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Finding the Fourth Proportional to 5,258, 7,879.92 and 2,790.20

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Solution

The fourth proportional to 5,258, 7,879.92 and 2,790.20 is: 4,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258 : 7,879.92 = 2,790.20 : x
  2. Step 2: Convert to fraction form
    5,258/7,879.92 = 2,790.20/x
  3. Step 3: Cross multiply
    5,258x = 7,879.92 × 2,790.20
  4. Step 4: Simplify right side
    5,258x = 21,986,552.78
  5. Step 5: Solve for x
    x = 21,986,552.78/5,258
  6. Step 6: Final answer
    x = 4,181.54

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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.