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Finding the Fourth Proportional to 5,238.77, 7,222.04 and 4,167.14

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Solution

The fourth proportional to 5,238.77, 7,222.04 and 4,167.14 is: 5,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.77 : 7,222.04 = 4,167.14 : x
  2. Step 2: Convert to fraction form
    5,238.77/7,222.04 = 4,167.14/x
  3. Step 3: Cross multiply
    5,238.77x = 7,222.04 × 4,167.14
  4. Step 4: Simplify right side
    5,238.77x = 30,095,194.82
  5. Step 5: Solve for x
    x = 30,095,194.82/5,238.77
  6. Step 6: Final answer
    x = 5,744.71

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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.