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Finding the Fourth Proportional to 3,576.88, 5,365.50 and 979.84

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Solution

The fourth proportional to 3,576.88, 5,365.50 and 979.84 is: 1,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.88 : 5,365.50 = 979.84 : x
  2. Step 2: Convert to fraction form
    3,576.88/5,365.50 = 979.84/x
  3. Step 3: Cross multiply
    3,576.88x = 5,365.50 × 979.84
  4. Step 4: Simplify right side
    3,576.88x = 5,257,331.52
  5. Step 5: Solve for x
    x = 5,257,331.52/3,576.88
  6. Step 6: Final answer
    x = 1,469.81

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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.