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Finding the Fourth Proportional to 3,166.38, 4,749.57 and 857.88

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Solution

The fourth proportional to 3,166.38, 4,749.57 and 857.88 is: 1,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.38 : 4,749.57 = 857.88 : x
  2. Step 2: Convert to fraction form
    3,166.38/4,749.57 = 857.88/x
  3. Step 3: Cross multiply
    3,166.38x = 4,749.57 × 857.88
  4. Step 4: Simplify right side
    3,166.38x = 4,074,561.11
  5. Step 5: Solve for x
    x = 4,074,561.11/3,166.38
  6. Step 6: Final answer
    x = 1,286.82

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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.