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Finding the Fourth Proportional to 5,890.49, 8,129.09 and 3,238.10

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Solution

The fourth proportional to 5,890.49, 8,129.09 and 3,238.10 is: 4,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.49 : 8,129.09 = 3,238.10 : x
  2. Step 2: Convert to fraction form
    5,890.49/8,129.09 = 3,238.10/x
  3. Step 3: Cross multiply
    5,890.49x = 8,129.09 × 3,238.10
  4. Step 4: Simplify right side
    5,890.49x = 26,322,806.33
  5. Step 5: Solve for x
    x = 26,322,806.33/5,890.49
  6. Step 6: Final answer
    x = 4,468.70

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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.