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Finding the Fourth Proportional to 3,767.44, 5,651.64 and 1,301.60

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Solution

The fourth proportional to 3,767.44, 5,651.64 and 1,301.60 is: 1,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.44 : 5,651.64 = 1,301.60 : x
  2. Step 2: Convert to fraction form
    3,767.44/5,651.64 = 1,301.60/x
  3. Step 3: Cross multiply
    3,767.44x = 5,651.64 × 1,301.60
  4. Step 4: Simplify right side
    3,767.44x = 7,356,174.62
  5. Step 5: Solve for x
    x = 7,356,174.62/3,767.44
  6. Step 6: Final answer
    x = 1,952.57

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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.