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Finding the Fourth Proportional to 6,497.92, 8,966.79 and 3,665.21

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Solution

The fourth proportional to 6,497.92, 8,966.79 and 3,665.21 is: 5,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.92 : 8,966.79 = 3,665.21 : x
  2. Step 2: Convert to fraction form
    6,497.92/8,966.79 = 3,665.21/x
  3. Step 3: Cross multiply
    6,497.92x = 8,966.79 × 3,665.21
  4. Step 4: Simplify right side
    6,497.92x = 32,865,168.38
  5. Step 5: Solve for x
    x = 32,865,168.38/6,497.92
  6. Step 6: Final answer
    x = 5,057.80

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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.