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Finding the Fourth Proportional to 6,249.38, 8,624.16 and 3,416.78

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Solution

The fourth proportional to 6,249.38, 8,624.16 and 3,416.78 is: 4,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.38 : 8,624.16 = 3,416.78 : x
  2. Step 2: Convert to fraction form
    6,249.38/8,624.16 = 3,416.78/x
  3. Step 3: Cross multiply
    6,249.38x = 8,624.16 × 3,416.78
  4. Step 4: Simplify right side
    6,249.38x = 29,466,857.40
  5. Step 5: Solve for x
    x = 29,466,857.40/6,249.38
  6. Step 6: Final answer
    x = 4,715.16

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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.