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Finding the Fourth Proportional to 5,847, 8,069.10 and 3,363

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Solution

The fourth proportional to 5,847, 8,069.10 and 3,363 is: 4,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847 : 8,069.10 = 3,363 : x
  2. Step 2: Convert to fraction form
    5,847/8,069.10 = 3,363/x
  3. Step 3: Cross multiply
    5,847x = 8,069.10 × 3,363
  4. Step 4: Simplify right side
    5,847x = 27,136,383.30
  5. Step 5: Solve for x
    x = 27,136,383.30/5,847
  6. Step 6: Final answer
    x = 4,641.08

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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.