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Finding the Fourth Proportional to 4,189.68, 6,238.97 and 4,143.66

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Solution

The fourth proportional to 4,189.68, 6,238.97 and 4,143.66 is: 6,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.68 : 6,238.97 = 4,143.66 : x
  2. Step 2: Convert to fraction form
    4,189.68/6,238.97 = 4,143.66/x
  3. Step 3: Cross multiply
    4,189.68x = 6,238.97 × 4,143.66
  4. Step 4: Simplify right side
    4,189.68x = 25,852,149.71
  5. Step 5: Solve for x
    x = 25,852,149.71/4,189.68
  6. Step 6: Final answer
    x = 6,170.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.