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Finding the Fourth Proportional to 5,189.88, 7,784.91 and 1,631.89

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Solution

The fourth proportional to 5,189.88, 7,784.91 and 1,631.89 is: 2,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.88 : 7,784.91 = 1,631.89 : x
  2. Step 2: Convert to fraction form
    5,189.88/7,784.91 = 1,631.89/x
  3. Step 3: Cross multiply
    5,189.88x = 7,784.91 × 1,631.89
  4. Step 4: Simplify right side
    5,189.88x = 12,704,121.92
  5. Step 5: Solve for x
    x = 12,704,121.92/5,189.88
  6. Step 6: Final answer
    x = 2,447.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.