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Finding the Fourth Proportional to 3,365.75, 5,049.45 and 1,057.25

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Solution

The fourth proportional to 3,365.75, 5,049.45 and 1,057.25 is: 1,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.75 : 5,049.45 = 1,057.25 : x
  2. Step 2: Convert to fraction form
    3,365.75/5,049.45 = 1,057.25/x
  3. Step 3: Cross multiply
    3,365.75x = 5,049.45 × 1,057.25
  4. Step 4: Simplify right side
    3,365.75x = 5,338,525.73
  5. Step 5: Solve for x
    x = 5,338,525.73/3,365.75
  6. Step 6: Final answer
    x = 1,586.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.