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Finding the Fourth Proportional to 5,502.25, 8,241 and 3,306.34

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Solution

The fourth proportional to 5,502.25, 8,241 and 3,306.34 is: 4,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.25 : 8,241 = 3,306.34 : x
  2. Step 2: Convert to fraction form
    5,502.25/8,241 = 3,306.34/x
  3. Step 3: Cross multiply
    5,502.25x = 8,241 × 3,306.34
  4. Step 4: Simplify right side
    5,502.25x = 27,247,547.94
  5. Step 5: Solve for x
    x = 27,247,547.94/5,502.25
  6. Step 6: Final answer
    x = 4,952.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.