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Finding the Fourth Proportional to 5,252.69, 7,874.87 and 2,618.76

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Solution

The fourth proportional to 5,252.69, 7,874.87 and 2,618.76 is: 3,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.69 : 7,874.87 = 2,618.76 : x
  2. Step 2: Convert to fraction form
    5,252.69/7,874.87 = 2,618.76/x
  3. Step 3: Cross multiply
    5,252.69x = 7,874.87 × 2,618.76
  4. Step 4: Simplify right side
    5,252.69x = 20,622,342.09
  5. Step 5: Solve for x
    x = 20,622,342.09/5,252.69
  6. Step 6: Final answer
    x = 3,926.06

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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.