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Finding the Fourth Proportional to 5,101.78, 7,651.05 and 2,179.30

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Solution

The fourth proportional to 5,101.78, 7,651.05 and 2,179.30 is: 3,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.78 : 7,651.05 = 2,179.30 : x
  2. Step 2: Convert to fraction form
    5,101.78/7,651.05 = 2,179.30/x
  3. Step 3: Cross multiply
    5,101.78x = 7,651.05 × 2,179.30
  4. Step 4: Simplify right side
    5,101.78x = 16,673,933.27
  5. Step 5: Solve for x
    x = 16,673,933.27/5,101.78
  6. Step 6: Final answer
    x = 3,268.26

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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.