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Finding the Fourth Proportional to 6,330.41, 8,735.92 and 3,497.97

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Solution

The fourth proportional to 6,330.41, 8,735.92 and 3,497.97 is: 4,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.41 : 8,735.92 = 3,497.97 : x
  2. Step 2: Convert to fraction form
    6,330.41/8,735.92 = 3,497.97/x
  3. Step 3: Cross multiply
    6,330.41x = 8,735.92 × 3,497.97
  4. Step 4: Simplify right side
    6,330.41x = 30,557,986.08
  5. Step 5: Solve for x
    x = 30,557,986.08/6,330.41
  6. Step 6: Final answer
    x = 4,827.17

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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.