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Finding the Fourth Proportional to 5,249.53, 7,869.83 and 2,326.24

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Solution

The fourth proportional to 5,249.53, 7,869.83 and 2,326.24 is: 3,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.53 : 7,869.83 = 2,326.24 : x
  2. Step 2: Convert to fraction form
    5,249.53/7,869.83 = 2,326.24/x
  3. Step 3: Cross multiply
    5,249.53x = 7,869.83 × 2,326.24
  4. Step 4: Simplify right side
    5,249.53x = 18,307,101.71
  5. Step 5: Solve for x
    x = 18,307,101.71/5,249.53
  6. Step 6: Final answer
    x = 3,487.38

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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.