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Finding the Fourth Proportional to 4,189.72, 6,282.17 and 1,726.24

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Solution

The fourth proportional to 4,189.72, 6,282.17 and 1,726.24 is: 2,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.72 : 6,282.17 = 1,726.24 : x
  2. Step 2: Convert to fraction form
    4,189.72/6,282.17 = 1,726.24/x
  3. Step 3: Cross multiply
    4,189.72x = 6,282.17 × 1,726.24
  4. Step 4: Simplify right side
    4,189.72x = 10,844,493.10
  5. Step 5: Solve for x
    x = 10,844,493.10/4,189.72
  6. Step 6: Final answer
    x = 2,588.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.