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Finding the Fourth Proportional to 5,776.14, 7,969.14 and 3,257.85

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Solution

The fourth proportional to 5,776.14, 7,969.14 and 3,257.85 is: 4,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.14 : 7,969.14 = 3,257.85 : x
  2. Step 2: Convert to fraction form
    5,776.14/7,969.14 = 3,257.85/x
  3. Step 3: Cross multiply
    5,776.14x = 7,969.14 × 3,257.85
  4. Step 4: Simplify right side
    5,776.14x = 25,962,262.75
  5. Step 5: Solve for x
    x = 25,962,262.75/5,776.14
  6. Step 6: Final answer
    x = 4,494.74

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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.