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Finding the Fourth Proportional to 5,190.96, 7,788.40 and 3,112.44

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Solution

The fourth proportional to 5,190.96, 7,788.40 and 3,112.44 is: 4,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.96 : 7,788.40 = 3,112.44 : x
  2. Step 2: Convert to fraction form
    5,190.96/7,788.40 = 3,112.44/x
  3. Step 3: Cross multiply
    5,190.96x = 7,788.40 × 3,112.44
  4. Step 4: Simplify right side
    5,190.96x = 24,240,927.70
  5. Step 5: Solve for x
    x = 24,240,927.70/5,190.96
  6. Step 6: Final answer
    x = 4,669.84

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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.