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Finding the Fourth Proportional to 5,789.21, 7,986.17 and 3,661.16

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Solution

The fourth proportional to 5,789.21, 7,986.17 and 3,661.16 is: 5,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.21 : 7,986.17 = 3,661.16 : x
  2. Step 2: Convert to fraction form
    5,789.21/7,986.17 = 3,661.16/x
  3. Step 3: Cross multiply
    5,789.21x = 7,986.17 × 3,661.16
  4. Step 4: Simplify right side
    5,789.21x = 29,238,594.79
  5. Step 5: Solve for x
    x = 29,238,594.79/5,789.21
  6. Step 6: Final answer
    x = 5,050.53

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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.