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Finding the Fourth Proportional to 6,353.46, 8,767.80 and 3,558.96

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Solution

The fourth proportional to 6,353.46, 8,767.80 and 3,558.96 is: 4,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.46 : 8,767.80 = 3,558.96 : x
  2. Step 2: Convert to fraction form
    6,353.46/8,767.80 = 3,558.96/x
  3. Step 3: Cross multiply
    6,353.46x = 8,767.80 × 3,558.96
  4. Step 4: Simplify right side
    6,353.46x = 31,204,249.49
  5. Step 5: Solve for x
    x = 31,204,249.49/6,353.46
  6. Step 6: Final answer
    x = 4,911.38

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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.