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Finding the Fourth Proportional to 6,497.92, 8,966.58 and 3,844.86

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Solution

The fourth proportional to 6,497.92, 8,966.58 and 3,844.86 is: 5,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.92 : 8,966.58 = 3,844.86 : x
  2. Step 2: Convert to fraction form
    6,497.92/8,966.58 = 3,844.86/x
  3. Step 3: Cross multiply
    6,497.92x = 8,966.58 × 3,844.86
  4. Step 4: Simplify right side
    6,497.92x = 34,475,244.78
  5. Step 5: Solve for x
    x = 34,475,244.78/6,497.92
  6. Step 6: Final answer
    x = 5,305.59

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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.