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Finding the Fourth Proportional to 5,840.51, 8,057.82 and 3,449.96

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Solution

The fourth proportional to 5,840.51, 8,057.82 and 3,449.96 is: 4,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.51 : 8,057.82 = 3,449.96 : x
  2. Step 2: Convert to fraction form
    5,840.51/8,057.82 = 3,449.96/x
  3. Step 3: Cross multiply
    5,840.51x = 8,057.82 × 3,449.96
  4. Step 4: Simplify right side
    5,840.51x = 27,799,199.62
  5. Step 5: Solve for x
    x = 27,799,199.62/5,840.51
  6. Step 6: Final answer
    x = 4,759.73

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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.