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Finding the Fourth Proportional to 3,832.32, 5,287.86 and 2,259.96

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Solution

The fourth proportional to 3,832.32, 5,287.86 and 2,259.96 is: 3,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.32 : 5,287.86 = 2,259.96 : x
  2. Step 2: Convert to fraction form
    3,832.32/5,287.86 = 2,259.96/x
  3. Step 3: Cross multiply
    3,832.32x = 5,287.86 × 2,259.96
  4. Step 4: Simplify right side
    3,832.32x = 11,950,352.09
  5. Step 5: Solve for x
    x = 11,950,352.09/3,832.32
  6. Step 6: Final answer
    x = 3,118.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.