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Finding the Fourth Proportional to 3,952.33, 5,447.46 and 3,066.46

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Solution

The fourth proportional to 3,952.33, 5,447.46 and 3,066.46 is: 4,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.33 : 5,447.46 = 3,066.46 : x
  2. Step 2: Convert to fraction form
    3,952.33/5,447.46 = 3,066.46/x
  3. Step 3: Cross multiply
    3,952.33x = 5,447.46 × 3,066.46
  4. Step 4: Simplify right side
    3,952.33x = 16,704,418.19
  5. Step 5: Solve for x
    x = 16,704,418.19/3,952.33
  6. Step 6: Final answer
    x = 4,226.47

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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.