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Finding the Fourth Proportional to 5,191.75, 7,788.09 and 2,071

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Solution

The fourth proportional to 5,191.75, 7,788.09 and 2,071 is: 3,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.75 : 7,788.09 = 2,071 : x
  2. Step 2: Convert to fraction form
    5,191.75/7,788.09 = 2,071/x
  3. Step 3: Cross multiply
    5,191.75x = 7,788.09 × 2,071
  4. Step 4: Simplify right side
    5,191.75x = 16,129,134.39
  5. Step 5: Solve for x
    x = 16,129,134.39/5,191.75
  6. Step 6: Final answer
    x = 3,106.69

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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.