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Finding the Fourth Proportional to 4,015.70, 6,023.55 and 3,408.20

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Solution

The fourth proportional to 4,015.70, 6,023.55 and 3,408.20 is: 5,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.70 : 6,023.55 = 3,408.20 : x
  2. Step 2: Convert to fraction form
    4,015.70/6,023.55 = 3,408.20/x
  3. Step 3: Cross multiply
    4,015.70x = 6,023.55 × 3,408.20
  4. Step 4: Simplify right side
    4,015.70x = 20,529,463.11
  5. Step 5: Solve for x
    x = 20,529,463.11/4,015.70
  6. Step 6: Final answer
    x = 5,112.30

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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.