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Finding the Fourth Proportional to 5,859, 8,788.61 and 2,738.15

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Solution

The fourth proportional to 5,859, 8,788.61 and 2,738.15 is: 4,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,788.61 = 2,738.15 : x
  2. Step 2: Convert to fraction form
    5,859/8,788.61 = 2,738.15/x
  3. Step 3: Cross multiply
    5,859x = 8,788.61 × 2,738.15
  4. Step 4: Simplify right side
    5,859x = 24,064,532.47
  5. Step 5: Solve for x
    x = 24,064,532.47/5,859
  6. Step 6: Final answer
    x = 4,107.28

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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.