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Finding the Fourth Proportional to 5,951.74, 8,213.08 and 3,299

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Solution

The fourth proportional to 5,951.74, 8,213.08 and 3,299 is: 4,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.74 : 8,213.08 = 3,299 : x
  2. Step 2: Convert to fraction form
    5,951.74/8,213.08 = 3,299/x
  3. Step 3: Cross multiply
    5,951.74x = 8,213.08 × 3,299
  4. Step 4: Simplify right side
    5,951.74x = 27,094,950.92
  5. Step 5: Solve for x
    x = 27,094,950.92/5,951.74
  6. Step 6: Final answer
    x = 4,552.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.