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Finding the Fourth Proportional to 4,232.76, 6,351.77 and 2,041.71

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Solution

The fourth proportional to 4,232.76, 6,351.77 and 2,041.71 is: 3,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.76 : 6,351.77 = 2,041.71 : x
  2. Step 2: Convert to fraction form
    4,232.76/6,351.77 = 2,041.71/x
  3. Step 3: Cross multiply
    4,232.76x = 6,351.77 × 2,041.71
  4. Step 4: Simplify right side
    4,232.76x = 12,968,472.33
  5. Step 5: Solve for x
    x = 12,968,472.33/4,232.76
  6. Step 6: Final answer
    x = 3,063.83

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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.