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Finding the Fourth Proportional to 3,602.80, 5,404.20 and 2,825.20

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Solution

The fourth proportional to 3,602.80, 5,404.20 and 2,825.20 is: 4,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.80 : 5,404.20 = 2,825.20 : x
  2. Step 2: Convert to fraction form
    3,602.80/5,404.20 = 2,825.20/x
  3. Step 3: Cross multiply
    3,602.80x = 5,404.20 × 2,825.20
  4. Step 4: Simplify right side
    3,602.80x = 15,267,945.84
  5. Step 5: Solve for x
    x = 15,267,945.84/3,602.80
  6. Step 6: Final answer
    x = 4,237.80

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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.