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Finding the Fourth Proportional to 7,179.84, 10,772.54 and 3,481.80

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Solution

The fourth proportional to 7,179.84, 10,772.54 and 3,481.80 is: 5,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.84 : 10,772.54 = 3,481.80 : x
  2. Step 2: Convert to fraction form
    7,179.84/10,772.54 = 3,481.80/x
  3. Step 3: Cross multiply
    7,179.84x = 10,772.54 × 3,481.80
  4. Step 4: Simplify right side
    7,179.84x = 37,507,829.77
  5. Step 5: Solve for x
    x = 37,507,829.77/7,179.84
  6. Step 6: Final answer
    x = 5,224.05

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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.