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Finding the Fourth Proportional to 4,133.96, 5,716.07 and 4,067.19

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Solution

The fourth proportional to 4,133.96, 5,716.07 and 4,067.19 is: 5,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.96 : 5,716.07 = 4,067.19 : x
  2. Step 2: Convert to fraction form
    4,133.96/5,716.07 = 4,067.19/x
  3. Step 3: Cross multiply
    4,133.96x = 5,716.07 × 4,067.19
  4. Step 4: Simplify right side
    4,133.96x = 23,248,314.16
  5. Step 5: Solve for x
    x = 23,248,314.16/4,133.96
  6. Step 6: Final answer
    x = 5,623.75

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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.