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Finding the Fourth Proportional to 3,166.28, 4,749.36 and 857.80

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Solution

The fourth proportional to 3,166.28, 4,749.36 and 857.80 is: 1,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.28 : 4,749.36 = 857.80 : x
  2. Step 2: Convert to fraction form
    3,166.28/4,749.36 = 857.80/x
  3. Step 3: Cross multiply
    3,166.28x = 4,749.36 × 857.80
  4. Step 4: Simplify right side
    3,166.28x = 4,074,001.01
  5. Step 5: Solve for x
    x = 4,074,001.01/3,166.28
  6. Step 6: Final answer
    x = 1,286.68

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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.