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Finding the Fourth Proportional to 5,107.44, 7,659.80 and 1,408.80

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Solution

The fourth proportional to 5,107.44, 7,659.80 and 1,408.80 is: 2,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.44 : 7,659.80 = 1,408.80 : x
  2. Step 2: Convert to fraction form
    5,107.44/7,659.80 = 1,408.80/x
  3. Step 3: Cross multiply
    5,107.44x = 7,659.80 × 1,408.80
  4. Step 4: Simplify right side
    5,107.44x = 10,791,119.20
  5. Step 5: Solve for x
    x = 10,791,119.20/5,107.44
  6. Step 6: Final answer
    x = 2,112.82

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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.