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Finding the Fourth Proportional to 5,321.96, 7,344.34 and 2,964.11

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Solution

The fourth proportional to 5,321.96, 7,344.34 and 2,964.11 is: 4,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.96 : 7,344.34 = 2,964.11 : x
  2. Step 2: Convert to fraction form
    5,321.96/7,344.34 = 2,964.11/x
  3. Step 3: Cross multiply
    5,321.96x = 7,344.34 × 2,964.11
  4. Step 4: Simplify right side
    5,321.96x = 21,769,415.05
  5. Step 5: Solve for x
    x = 21,769,415.05/5,321.96
  6. Step 6: Final answer
    x = 4,090.49

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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.