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Finding the Fourth Proportional to 5,644.81, 8,459.52 and 3,299.86

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Solution

The fourth proportional to 5,644.81, 8,459.52 and 3,299.86 is: 4,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.81 : 8,459.52 = 3,299.86 : x
  2. Step 2: Convert to fraction form
    5,644.81/8,459.52 = 3,299.86/x
  3. Step 3: Cross multiply
    5,644.81x = 8,459.52 × 3,299.86
  4. Step 4: Simplify right side
    5,644.81x = 27,915,231.67
  5. Step 5: Solve for x
    x = 27,915,231.67/5,644.81
  6. Step 6: Final answer
    x = 4,945.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.