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Finding the Fourth Proportional to 3,647.28, 5,035.32 and 2,408.88

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Solution

The fourth proportional to 3,647.28, 5,035.32 and 2,408.88 is: 3,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.28 : 5,035.32 = 2,408.88 : x
  2. Step 2: Convert to fraction form
    3,647.28/5,035.32 = 2,408.88/x
  3. Step 3: Cross multiply
    3,647.28x = 5,035.32 × 2,408.88
  4. Step 4: Simplify right side
    3,647.28x = 12,129,481.64
  5. Step 5: Solve for x
    x = 12,129,481.64/3,647.28
  6. Step 6: Final answer
    x = 3,325.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.