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Finding the Fourth Proportional to 6,563.92, 9,058.05 and 3,579.82

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Solution

The fourth proportional to 6,563.92, 9,058.05 and 3,579.82 is: 4,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.92 : 9,058.05 = 3,579.82 : x
  2. Step 2: Convert to fraction form
    6,563.92/9,058.05 = 3,579.82/x
  3. Step 3: Cross multiply
    6,563.92x = 9,058.05 × 3,579.82
  4. Step 4: Simplify right side
    6,563.92x = 32,426,188.55
  5. Step 5: Solve for x
    x = 32,426,188.55/6,563.92
  6. Step 6: Final answer
    x = 4,940.06

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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.