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Finding the Fourth Proportional to 3,744.74, 5,167.45 and 2,066.21

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Solution

The fourth proportional to 3,744.74, 5,167.45 and 2,066.21 is: 2,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.74 : 5,167.45 = 2,066.21 : x
  2. Step 2: Convert to fraction form
    3,744.74/5,167.45 = 2,066.21/x
  3. Step 3: Cross multiply
    3,744.74x = 5,167.45 × 2,066.21
  4. Step 4: Simplify right side
    3,744.74x = 10,677,005.86
  5. Step 5: Solve for x
    x = 10,677,005.86/3,744.74
  6. Step 6: Final answer
    x = 2,851.20

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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.