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Finding the Fourth Proportional to 5,789.42, 8,664.37 and 3,679.97

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Solution

The fourth proportional to 5,789.42, 8,664.37 and 3,679.97 is: 5,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.42 : 8,664.37 = 3,679.97 : x
  2. Step 2: Convert to fraction form
    5,789.42/8,664.37 = 3,679.97/x
  3. Step 3: Cross multiply
    5,789.42x = 8,664.37 × 3,679.97
  4. Step 4: Simplify right side
    5,789.42x = 31,884,634.13
  5. Step 5: Solve for x
    x = 31,884,634.13/5,789.42
  6. Step 6: Final answer
    x = 5,507.40

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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.