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Finding the Fourth Proportional to 6,204.34, 8,552.04 and 4,857.68

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Solution

The fourth proportional to 6,204.34, 8,552.04 and 4,857.68 is: 6,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.34 : 8,552.04 = 4,857.68 : x
  2. Step 2: Convert to fraction form
    6,204.34/8,552.04 = 4,857.68/x
  3. Step 3: Cross multiply
    6,204.34x = 8,552.04 × 4,857.68
  4. Step 4: Simplify right side
    6,204.34x = 41,543,049.38
  5. Step 5: Solve for x
    x = 41,543,049.38/6,204.34
  6. Step 6: Final answer
    x = 6,695.80

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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.