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Finding the Fourth Proportional to 5,169.84, 7,755.12 and 1,472.34

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Solution

The fourth proportional to 5,169.84, 7,755.12 and 1,472.34 is: 2,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.84 : 7,755.12 = 1,472.34 : x
  2. Step 2: Convert to fraction form
    5,169.84/7,755.12 = 1,472.34/x
  3. Step 3: Cross multiply
    5,169.84x = 7,755.12 × 1,472.34
  4. Step 4: Simplify right side
    5,169.84x = 11,418,173.38
  5. Step 5: Solve for x
    x = 11,418,173.38/5,169.84
  6. Step 6: Final answer
    x = 2,208.61

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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.