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Finding the Fourth Proportional to 3,887.64, 5,853.38 and 3,428.28

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Solution

The fourth proportional to 3,887.64, 5,853.38 and 3,428.28 is: 5,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.64 : 5,853.38 = 3,428.28 : x
  2. Step 2: Convert to fraction form
    3,887.64/5,853.38 = 3,428.28/x
  3. Step 3: Cross multiply
    3,887.64x = 5,853.38 × 3,428.28
  4. Step 4: Simplify right side
    3,887.64x = 20,067,008.45
  5. Step 5: Solve for x
    x = 20,067,008.45/3,887.64
  6. Step 6: Final answer
    x = 5,161.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.