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Finding the Fourth Proportional to 5,890.80, 8,129.56 and 3,238.16

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Solution

The fourth proportional to 5,890.80, 8,129.56 and 3,238.16 is: 4,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.80 : 8,129.56 = 3,238.16 : x
  2. Step 2: Convert to fraction form
    5,890.80/8,129.56 = 3,238.16/x
  3. Step 3: Cross multiply
    5,890.80x = 8,129.56 × 3,238.16
  4. Step 4: Simplify right side
    5,890.80x = 26,324,816.01
  5. Step 5: Solve for x
    x = 26,324,816.01/5,890.80
  6. Step 6: Final answer
    x = 4,468.80

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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.