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Finding the Fourth Proportional to 4,252.86, 5,866.90 and 2,761.24

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Solution

The fourth proportional to 4,252.86, 5,866.90 and 2,761.24 is: 3,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.86 : 5,866.90 = 2,761.24 : x
  2. Step 2: Convert to fraction form
    4,252.86/5,866.90 = 2,761.24/x
  3. Step 3: Cross multiply
    4,252.86x = 5,866.90 × 2,761.24
  4. Step 4: Simplify right side
    4,252.86x = 16,199,930.39
  5. Step 5: Solve for x
    x = 16,199,930.39/4,252.86
  6. Step 6: Final answer
    x = 3,809.19

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