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Finding the Fourth Proportional to 5,255.76, 7,879.68 and 3,175.32

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Solution

The fourth proportional to 5,255.76, 7,879.68 and 3,175.32 is: 4,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.76 : 7,879.68 = 3,175.32 : x
  2. Step 2: Convert to fraction form
    5,255.76/7,879.68 = 3,175.32/x
  3. Step 3: Cross multiply
    5,255.76x = 7,879.68 × 3,175.32
  4. Step 4: Simplify right side
    5,255.76x = 25,020,505.50
  5. Step 5: Solve for x
    x = 25,020,505.50/5,255.76
  6. Step 6: Final answer
    x = 4,760.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.