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Finding the Fourth Proportional to 3,647.16, 5,462.51 and 2,183.22

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Solution

The fourth proportional to 3,647.16, 5,462.51 and 2,183.22 is: 3,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.16 : 5,462.51 = 2,183.22 : x
  2. Step 2: Convert to fraction form
    3,647.16/5,462.51 = 2,183.22/x
  3. Step 3: Cross multiply
    3,647.16x = 5,462.51 × 2,183.22
  4. Step 4: Simplify right side
    3,647.16x = 11,925,850.17
  5. Step 5: Solve for x
    x = 11,925,850.17/3,647.16
  6. Step 6: Final answer
    x = 3,269.90

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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.