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Finding the Fourth Proportional to 6,249, 8,623.80 and 3,454.68

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Solution

The fourth proportional to 6,249, 8,623.80 and 3,454.68 is: 4,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249 : 8,623.80 = 3,454.68 : x
  2. Step 2: Convert to fraction form
    6,249/8,623.80 = 3,454.68/x
  3. Step 3: Cross multiply
    6,249x = 8,623.80 × 3,454.68
  4. Step 4: Simplify right side
    6,249x = 29,792,469.38
  5. Step 5: Solve for x
    x = 29,792,469.38/6,249
  6. Step 6: Final answer
    x = 4,767.56

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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.