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Finding the Fourth Proportional to 5,306.32, 7,322.16 and 3,067.84

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Solution

The fourth proportional to 5,306.32, 7,322.16 and 3,067.84 is: 4,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.32 : 7,322.16 = 3,067.84 : x
  2. Step 2: Convert to fraction form
    5,306.32/7,322.16 = 3,067.84/x
  3. Step 3: Cross multiply
    5,306.32x = 7,322.16 × 3,067.84
  4. Step 4: Simplify right side
    5,306.32x = 22,463,215.33
  5. Step 5: Solve for x
    x = 22,463,215.33/5,306.32
  6. Step 6: Final answer
    x = 4,233.29

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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.