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Finding the Fourth Proportional to 3,580.20, 5,362.20 and 2,122.20

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Solution

The fourth proportional to 3,580.20, 5,362.20 and 2,122.20 is: 3,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.20 : 5,362.20 = 2,122.20 : x
  2. Step 2: Convert to fraction form
    3,580.20/5,362.20 = 2,122.20/x
  3. Step 3: Cross multiply
    3,580.20x = 5,362.20 × 2,122.20
  4. Step 4: Simplify right side
    3,580.20x = 11,379,660.84
  5. Step 5: Solve for x
    x = 11,379,660.84/3,580.20
  6. Step 6: Final answer
    x = 3,178.50

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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.