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Finding the Fourth Proportional to 5,890.67, 8,128.91 and 3,238.06

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Solution

The fourth proportional to 5,890.67, 8,128.91 and 3,238.06 is: 4,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.67 : 8,128.91 = 3,238.06 : x
  2. Step 2: Convert to fraction form
    5,890.67/8,128.91 = 3,238.06/x
  3. Step 3: Cross multiply
    5,890.67x = 8,128.91 × 3,238.06
  4. Step 4: Simplify right side
    5,890.67x = 26,321,869.31
  5. Step 5: Solve for x
    x = 26,321,869.31/5,890.67
  6. Step 6: Final answer
    x = 4,468.40

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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.