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Finding the Fourth Proportional to 5,299.48, 7,950.12 and 2,178.68

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Solution

The fourth proportional to 5,299.48, 7,950.12 and 2,178.68 is: 3,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.48 : 7,950.12 = 2,178.68 : x
  2. Step 2: Convert to fraction form
    5,299.48/7,950.12 = 2,178.68/x
  3. Step 3: Cross multiply
    5,299.48x = 7,950.12 × 2,178.68
  4. Step 4: Simplify right side
    5,299.48x = 17,320,767.44
  5. Step 5: Solve for x
    x = 17,320,767.44/5,299.48
  6. Step 6: Final answer
    x = 3,268.39

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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.