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Finding the Fourth Proportional to 3,857.36, 5,786.62 and 1,666.12

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Solution

The fourth proportional to 3,857.36, 5,786.62 and 1,666.12 is: 2,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.36 : 5,786.62 = 1,666.12 : x
  2. Step 2: Convert to fraction form
    3,857.36/5,786.62 = 1,666.12/x
  3. Step 3: Cross multiply
    3,857.36x = 5,786.62 × 1,666.12
  4. Step 4: Simplify right side
    3,857.36x = 9,641,203.31
  5. Step 5: Solve for x
    x = 9,641,203.31/3,857.36
  6. Step 6: Final answer
    x = 2,499.43

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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.