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Finding the Fourth Proportional to 3,993.06, 5,508 and 3,152.46

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Solution

The fourth proportional to 3,993.06, 5,508 and 3,152.46 is: 4,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.06 : 5,508 = 3,152.46 : x
  2. Step 2: Convert to fraction form
    3,993.06/5,508 = 3,152.46/x
  3. Step 3: Cross multiply
    3,993.06x = 5,508 × 3,152.46
  4. Step 4: Simplify right side
    3,993.06x = 17,363,749.68
  5. Step 5: Solve for x
    x = 17,363,749.68/3,993.06
  6. Step 6: Final answer
    x = 4,348.48

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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.