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Finding the Fourth Proportional to 3,552.56, 5,327.96 and 955.44

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Solution

The fourth proportional to 3,552.56, 5,327.96 and 955.44 is: 1,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.56 : 5,327.96 = 955.44 : x
  2. Step 2: Convert to fraction form
    3,552.56/5,327.96 = 955.44/x
  3. Step 3: Cross multiply
    3,552.56x = 5,327.96 × 955.44
  4. Step 4: Simplify right side
    3,552.56x = 5,090,546.10
  5. Step 5: Solve for x
    x = 5,090,546.10/3,552.56
  6. Step 6: Final answer
    x = 1,432.92

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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.