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Finding the Fourth Proportional to 3,662.57, 5,041.49 and 3,242.18

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Solution

The fourth proportional to 3,662.57, 5,041.49 and 3,242.18 is: 4,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.57 : 5,041.49 = 3,242.18 : x
  2. Step 2: Convert to fraction form
    3,662.57/5,041.49 = 3,242.18/x
  3. Step 3: Cross multiply
    3,662.57x = 5,041.49 × 3,242.18
  4. Step 4: Simplify right side
    3,662.57x = 16,345,404.32
  5. Step 5: Solve for x
    x = 16,345,404.32/3,662.57
  6. Step 6: Final answer
    x = 4,462.83

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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.