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Finding the Fourth Proportional to 5,469, 8,204.58 and 2,391

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Solution

The fourth proportional to 5,469, 8,204.58 and 2,391 is: 3,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469 : 8,204.58 = 2,391 : x
  2. Step 2: Convert to fraction form
    5,469/8,204.58 = 2,391/x
  3. Step 3: Cross multiply
    5,469x = 8,204.58 × 2,391
  4. Step 4: Simplify right side
    5,469x = 19,617,150.78
  5. Step 5: Solve for x
    x = 19,617,150.78/5,469
  6. Step 6: Final answer
    x = 3,586.97

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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.