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Finding the Fourth Proportional to 5,890.85, 8,129.41 and 3,238.35

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Solution

The fourth proportional to 5,890.85, 8,129.41 and 3,238.35 is: 4,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.85 : 8,129.41 = 3,238.35 : x
  2. Step 2: Convert to fraction form
    5,890.85/8,129.41 = 3,238.35/x
  3. Step 3: Cross multiply
    5,890.85x = 8,129.41 × 3,238.35
  4. Step 4: Simplify right side
    5,890.85x = 26,325,923.10
  5. Step 5: Solve for x
    x = 26,325,923.10/5,890.85
  6. Step 6: Final answer
    x = 4,468.95

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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.