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Finding the Fourth Proportional to 5,949.92, 8,908.24 and 4,484.48

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Solution

The fourth proportional to 5,949.92, 8,908.24 and 4,484.48 is: 6,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.92 : 8,908.24 = 4,484.48 : x
  2. Step 2: Convert to fraction form
    5,949.92/8,908.24 = 4,484.48/x
  3. Step 3: Cross multiply
    5,949.92x = 8,908.24 × 4,484.48
  4. Step 4: Simplify right side
    5,949.92x = 39,948,824.12
  5. Step 5: Solve for x
    x = 39,948,824.12/5,949.92
  6. Step 6: Final answer
    x = 6,714.18

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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.