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Finding the Fourth Proportional to 6,406.26, 9,608.24 and 1,726.58

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Solution

The fourth proportional to 6,406.26, 9,608.24 and 1,726.58 is: 2,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.26 : 9,608.24 = 1,726.58 : x
  2. Step 2: Convert to fraction form
    6,406.26/9,608.24 = 1,726.58/x
  3. Step 3: Cross multiply
    6,406.26x = 9,608.24 × 1,726.58
  4. Step 4: Simplify right side
    6,406.26x = 16,589,395.02
  5. Step 5: Solve for x
    x = 16,589,395.02/6,406.26
  6. Step 6: Final answer
    x = 2,589.56

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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.