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Finding the Fourth Proportional to 5,773.92, 7,968.50 and 3,256.52

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Solution

The fourth proportional to 5,773.92, 7,968.50 and 3,256.52 is: 4,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.92 : 7,968.50 = 3,256.52 : x
  2. Step 2: Convert to fraction form
    5,773.92/7,968.50 = 3,256.52/x
  3. Step 3: Cross multiply
    5,773.92x = 7,968.50 × 3,256.52
  4. Step 4: Simplify right side
    5,773.92x = 25,949,579.62
  5. Step 5: Solve for x
    x = 25,949,579.62/5,773.92
  6. Step 6: Final answer
    x = 4,494.27

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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.