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Finding the Fourth Proportional to 6,493.31, 8,960.22 and 3,660.11

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Solution

The fourth proportional to 6,493.31, 8,960.22 and 3,660.11 is: 5,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.31 : 8,960.22 = 3,660.11 : x
  2. Step 2: Convert to fraction form
    6,493.31/8,960.22 = 3,660.11/x
  3. Step 3: Cross multiply
    6,493.31x = 8,960.22 × 3,660.11
  4. Step 4: Simplify right side
    6,493.31x = 32,795,346.02
  5. Step 5: Solve for x
    x = 32,795,346.02/6,493.31
  6. Step 6: Final answer
    x = 5,050.64

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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.