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Finding the Fourth Proportional to 5,222.56, 7,196.72 and 3,726.26

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Solution

The fourth proportional to 5,222.56, 7,196.72 and 3,726.26 is: 5,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.56 : 7,196.72 = 3,726.26 : x
  2. Step 2: Convert to fraction form
    5,222.56/7,196.72 = 3,726.26/x
  3. Step 3: Cross multiply
    5,222.56x = 7,196.72 × 3,726.26
  4. Step 4: Simplify right side
    5,222.56x = 26,816,849.87
  5. Step 5: Solve for x
    x = 26,816,849.87/5,222.56
  6. Step 6: Final answer
    x = 5,134.81

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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.