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Finding the Fourth Proportional to 3,662.42, 5,047.11 and 2,666.12

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Solution

The fourth proportional to 3,662.42, 5,047.11 and 2,666.12 is: 3,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.42 : 5,047.11 = 2,666.12 : x
  2. Step 2: Convert to fraction form
    3,662.42/5,047.11 = 2,666.12/x
  3. Step 3: Cross multiply
    3,662.42x = 5,047.11 × 2,666.12
  4. Step 4: Simplify right side
    3,662.42x = 13,456,175.68
  5. Step 5: Solve for x
    x = 13,456,175.68/3,662.42
  6. Step 6: Final answer
    x = 3,674.13

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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.