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Finding the Fourth Proportional to 5,299.72, 7,929.69 and 3,299.02

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Solution

The fourth proportional to 5,299.72, 7,929.69 and 3,299.02 is: 4,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.72 : 7,929.69 = 3,299.02 : x
  2. Step 2: Convert to fraction form
    5,299.72/7,929.69 = 3,299.02/x
  3. Step 3: Cross multiply
    5,299.72x = 7,929.69 × 3,299.02
  4. Step 4: Simplify right side
    5,299.72x = 26,160,205.90
  5. Step 5: Solve for x
    x = 26,160,205.90/5,299.72
  6. Step 6: Final answer
    x = 4,936.15

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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.