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Finding the Fourth Proportional to 5,873, 8,811.72 and 3,796.96

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Solution

The fourth proportional to 5,873, 8,811.72 and 3,796.96 is: 5,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873 : 8,811.72 = 3,796.96 : x
  2. Step 2: Convert to fraction form
    5,873/8,811.72 = 3,796.96/x
  3. Step 3: Cross multiply
    5,873x = 8,811.72 × 3,796.96
  4. Step 4: Simplify right side
    5,873x = 33,457,748.37
  5. Step 5: Solve for x
    x = 33,457,748.37/5,873
  6. Step 6: Final answer
    x = 5,696.88

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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.