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Finding the Fourth Proportional to 4,801.89, 7,204.50 and 2,169.12

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Solution

The fourth proportional to 4,801.89, 7,204.50 and 2,169.12 is: 3,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.89 : 7,204.50 = 2,169.12 : x
  2. Step 2: Convert to fraction form
    4,801.89/7,204.50 = 2,169.12/x
  3. Step 3: Cross multiply
    4,801.89x = 7,204.50 × 2,169.12
  4. Step 4: Simplify right side
    4,801.89x = 15,627,425.04
  5. Step 5: Solve for x
    x = 15,627,425.04/4,801.89
  6. Step 6: Final answer
    x = 3,254.43

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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.