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Finding the Fourth Proportional to 3,744.78, 5,167.94 and 2,066.25

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Solution

The fourth proportional to 3,744.78, 5,167.94 and 2,066.25 is: 2,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.78 : 5,167.94 = 2,066.25 : x
  2. Step 2: Convert to fraction form
    3,744.78/5,167.94 = 2,066.25/x
  3. Step 3: Cross multiply
    3,744.78x = 5,167.94 × 2,066.25
  4. Step 4: Simplify right side
    3,744.78x = 10,678,245.69
  5. Step 5: Solve for x
    x = 10,678,245.69/3,744.78
  6. Step 6: Final answer
    x = 2,851.50

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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.