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Finding the Fourth Proportional to 3,551.88, 5,327.82 and 954.75

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Solution

The fourth proportional to 3,551.88, 5,327.82 and 954.75 is: 1,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.88 : 5,327.82 = 954.75 : x
  2. Step 2: Convert to fraction form
    3,551.88/5,327.82 = 954.75/x
  3. Step 3: Cross multiply
    3,551.88x = 5,327.82 × 954.75
  4. Step 4: Simplify right side
    3,551.88x = 5,086,736.15
  5. Step 5: Solve for x
    x = 5,086,736.15/3,551.88
  6. Step 6: Final answer
    x = 1,432.13

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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.