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Finding the Fourth Proportional to 3,374.75, 5,062.26 and 1,066.25

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Solution

The fourth proportional to 3,374.75, 5,062.26 and 1,066.25 is: 1,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.75 : 5,062.26 = 1,066.25 : x
  2. Step 2: Convert to fraction form
    3,374.75/5,062.26 = 1,066.25/x
  3. Step 3: Cross multiply
    3,374.75x = 5,062.26 × 1,066.25
  4. Step 4: Simplify right side
    3,374.75x = 5,397,634.73
  5. Step 5: Solve for x
    x = 5,397,634.73/3,374.75
  6. Step 6: Final answer
    x = 1,599.42

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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.