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Finding the Fourth Proportional to 4,189.56, 5,781.60 and 2,326.56

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Solution

The fourth proportional to 4,189.56, 5,781.60 and 2,326.56 is: 3,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.56 : 5,781.60 = 2,326.56 : x
  2. Step 2: Convert to fraction form
    4,189.56/5,781.60 = 2,326.56/x
  3. Step 3: Cross multiply
    4,189.56x = 5,781.60 × 2,326.56
  4. Step 4: Simplify right side
    4,189.56x = 13,451,239.30
  5. Step 5: Solve for x
    x = 13,451,239.30/4,189.56
  6. Step 6: Final answer
    x = 3,210.66

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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.