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Finding the Fourth Proportional to 4,166.92, 6,251.82 and 1,571.32

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Solution

The fourth proportional to 4,166.92, 6,251.82 and 1,571.32 is: 2,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.92 : 6,251.82 = 1,571.32 : x
  2. Step 2: Convert to fraction form
    4,166.92/6,251.82 = 1,571.32/x
  3. Step 3: Cross multiply
    4,166.92x = 6,251.82 × 1,571.32
  4. Step 4: Simplify right side
    4,166.92x = 9,823,609.80
  5. Step 5: Solve for x
    x = 9,823,609.80/4,166.92
  6. Step 6: Final answer
    x = 2,357.52

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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.