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Finding the Fourth Proportional to 5,910.48, 8,859.24 and 2,826

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Solution

The fourth proportional to 5,910.48, 8,859.24 and 2,826 is: 4,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.48 : 8,859.24 = 2,826 : x
  2. Step 2: Convert to fraction form
    5,910.48/8,859.24 = 2,826/x
  3. Step 3: Cross multiply
    5,910.48x = 8,859.24 × 2,826
  4. Step 4: Simplify right side
    5,910.48x = 25,036,212.24
  5. Step 5: Solve for x
    x = 25,036,212.24/5,910.48
  6. Step 6: Final answer
    x = 4,235.90

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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.