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Finding the Fourth Proportional to 4,169.49, 5,723.26 and 3,686.82

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Solution

The fourth proportional to 4,169.49, 5,723.26 and 3,686.82 is: 5,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.49 : 5,723.26 = 3,686.82 : x
  2. Step 2: Convert to fraction form
    4,169.49/5,723.26 = 3,686.82/x
  3. Step 3: Cross multiply
    4,169.49x = 5,723.26 × 3,686.82
  4. Step 4: Simplify right side
    4,169.49x = 21,100,598.75
  5. Step 5: Solve for x
    x = 21,100,598.75/4,169.49
  6. Step 6: Final answer
    x = 5,060.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.