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Finding the Fourth Proportional to 5,967.22, 8,949.43 and 2,456.32

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Solution

The fourth proportional to 5,967.22, 8,949.43 and 2,456.32 is: 3,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.22 : 8,949.43 = 2,456.32 : x
  2. Step 2: Convert to fraction form
    5,967.22/8,949.43 = 2,456.32/x
  3. Step 3: Cross multiply
    5,967.22x = 8,949.43 × 2,456.32
  4. Step 4: Simplify right side
    5,967.22x = 21,982,663.90
  5. Step 5: Solve for x
    x = 21,982,663.90/5,967.22
  6. Step 6: Final answer
    x = 3,683.90

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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.