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Finding the Fourth Proportional to 5,327.78, 7,993.02 and 1,629.86

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Solution

The fourth proportional to 5,327.78, 7,993.02 and 1,629.86 is: 2,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.78 : 7,993.02 = 1,629.86 : x
  2. Step 2: Convert to fraction form
    5,327.78/7,993.02 = 1,629.86/x
  3. Step 3: Cross multiply
    5,327.78x = 7,993.02 × 1,629.86
  4. Step 4: Simplify right side
    5,327.78x = 13,027,503.58
  5. Step 5: Solve for x
    x = 13,027,503.58/5,327.78
  6. Step 6: Final answer
    x = 2,445.20

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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.