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Finding the Fourth Proportional to 3,559.74, 5,334.21 and 2,257.26

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Solution

The fourth proportional to 3,559.74, 5,334.21 and 2,257.26 is: 3,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.74 : 5,334.21 = 2,257.26 : x
  2. Step 2: Convert to fraction form
    3,559.74/5,334.21 = 2,257.26/x
  3. Step 3: Cross multiply
    3,559.74x = 5,334.21 × 2,257.26
  4. Step 4: Simplify right side
    3,559.74x = 12,040,698.86
  5. Step 5: Solve for x
    x = 12,040,698.86/3,559.74
  6. Step 6: Final answer
    x = 3,382.47

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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.