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Finding the Fourth Proportional to 3,766.49, 5,650.62 and 1,301.33

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Solution

The fourth proportional to 3,766.49, 5,650.62 and 1,301.33 is: 1,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.49 : 5,650.62 = 1,301.33 : x
  2. Step 2: Convert to fraction form
    3,766.49/5,650.62 = 1,301.33/x
  3. Step 3: Cross multiply
    3,766.49x = 5,650.62 × 1,301.33
  4. Step 4: Simplify right side
    3,766.49x = 7,353,293.07
  5. Step 5: Solve for x
    x = 7,353,293.07/3,766.49
  6. Step 6: Final answer
    x = 1,952.30

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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.