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Finding the Fourth Proportional to 5,249.28, 7,875.05 and 2,618.20

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Solution

The fourth proportional to 5,249.28, 7,875.05 and 2,618.20 is: 3,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.28 : 7,875.05 = 2,618.20 : x
  2. Step 2: Convert to fraction form
    5,249.28/7,875.05 = 2,618.20/x
  3. Step 3: Cross multiply
    5,249.28x = 7,875.05 × 2,618.20
  4. Step 4: Simplify right side
    5,249.28x = 20,618,455.91
  5. Step 5: Solve for x
    x = 20,618,455.91/5,249.28
  6. Step 6: Final answer
    x = 3,927.86

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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.