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Finding the Fourth Proportional to 3,766.47, 5,650.46 and 1,301.38

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Solution

The fourth proportional to 3,766.47, 5,650.46 and 1,301.38 is: 1,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.47 : 5,650.46 = 1,301.38 : x
  2. Step 2: Convert to fraction form
    3,766.47/5,650.46 = 1,301.38/x
  3. Step 3: Cross multiply
    3,766.47x = 5,650.46 × 1,301.38
  4. Step 4: Simplify right side
    3,766.47x = 7,353,395.63
  5. Step 5: Solve for x
    x = 7,353,395.63/3,766.47
  6. Step 6: Final answer
    x = 1,952.33

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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.