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Finding the Fourth Proportional to 5,890.89, 8,129.42 and 3,238.30

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Solution

The fourth proportional to 5,890.89, 8,129.42 and 3,238.30 is: 4,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.89 : 8,129.42 = 3,238.30 : x
  2. Step 2: Convert to fraction form
    5,890.89/8,129.42 = 3,238.30/x
  3. Step 3: Cross multiply
    5,890.89x = 8,129.42 × 3,238.30
  4. Step 4: Simplify right side
    5,890.89x = 26,325,460.14
  5. Step 5: Solve for x
    x = 26,325,460.14/5,890.89
  6. Step 6: Final answer
    x = 4,468.84

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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.