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Finding the Fourth Proportional to 4,944.36, 7,408.12 and 4,321.20

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Solution

The fourth proportional to 4,944.36, 7,408.12 and 4,321.20 is: 6,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.36 : 7,408.12 = 4,321.20 : x
  2. Step 2: Convert to fraction form
    4,944.36/7,408.12 = 4,321.20/x
  3. Step 3: Cross multiply
    4,944.36x = 7,408.12 × 4,321.20
  4. Step 4: Simplify right side
    4,944.36x = 32,011,968.14
  5. Step 5: Solve for x
    x = 32,011,968.14/4,944.36
  6. Step 6: Final answer
    x = 6,474.44

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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.