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Finding the Fourth Proportional to 5,844.92, 8,769 and 3,249.68

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Solution

The fourth proportional to 5,844.92, 8,769 and 3,249.68 is: 4,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.92 : 8,769 = 3,249.68 : x
  2. Step 2: Convert to fraction form
    5,844.92/8,769 = 3,249.68/x
  3. Step 3: Cross multiply
    5,844.92x = 8,769 × 3,249.68
  4. Step 4: Simplify right side
    5,844.92x = 28,496,443.92
  5. Step 5: Solve for x
    x = 28,496,443.92/5,844.92
  6. Step 6: Final answer
    x = 4,875.42

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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.