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Finding the Fourth Proportional to 5,191.06, 7,788.60 and 1,906.42

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Solution

The fourth proportional to 5,191.06, 7,788.60 and 1,906.42 is: 2,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.06 : 7,788.60 = 1,906.42 : x
  2. Step 2: Convert to fraction form
    5,191.06/7,788.60 = 1,906.42/x
  3. Step 3: Cross multiply
    5,191.06x = 7,788.60 × 1,906.42
  4. Step 4: Simplify right side
    5,191.06x = 14,848,342.81
  5. Step 5: Solve for x
    x = 14,848,342.81/5,191.06
  6. Step 6: Final answer
    x = 2,860.37

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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.