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Finding the Fourth Proportional to 4,147.28, 5,723.22 and 2,284.28

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Solution

The fourth proportional to 4,147.28, 5,723.22 and 2,284.28 is: 3,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.28 : 5,723.22 = 2,284.28 : x
  2. Step 2: Convert to fraction form
    4,147.28/5,723.22 = 2,284.28/x
  3. Step 3: Cross multiply
    4,147.28x = 5,723.22 × 2,284.28
  4. Step 4: Simplify right side
    4,147.28x = 13,073,408.37
  5. Step 5: Solve for x
    x = 13,073,408.37/4,147.28
  6. Step 6: Final answer
    x = 3,152.29

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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.