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Finding the Fourth Proportional to 3,744.70, 5,167.60 and 2,066.24

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Solution

The fourth proportional to 3,744.70, 5,167.60 and 2,066.24 is: 2,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.70 : 5,167.60 = 2,066.24 : x
  2. Step 2: Convert to fraction form
    3,744.70/5,167.60 = 2,066.24/x
  3. Step 3: Cross multiply
    3,744.70x = 5,167.60 × 2,066.24
  4. Step 4: Simplify right side
    3,744.70x = 10,677,509.58
  5. Step 5: Solve for x
    x = 10,677,509.58/3,744.70
  6. Step 6: Final answer
    x = 2,851.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.