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Finding the Fourth Proportional to 3,887.28, 5,365.80 and 3,301.20

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Solution

The fourth proportional to 3,887.28, 5,365.80 and 3,301.20 is: 4,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.28 : 5,365.80 = 3,301.20 : x
  2. Step 2: Convert to fraction form
    3,887.28/5,365.80 = 3,301.20/x
  3. Step 3: Cross multiply
    3,887.28x = 5,365.80 × 3,301.20
  4. Step 4: Simplify right side
    3,887.28x = 17,713,578.96
  5. Step 5: Solve for x
    x = 17,713,578.96/3,887.28
  6. Step 6: Final answer
    x = 4,556.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.