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Finding the Fourth Proportional to 3,469.50, 5,203.98 and 1,521.18

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Solution

The fourth proportional to 3,469.50, 5,203.98 and 1,521.18 is: 2,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.50 : 5,203.98 = 1,521.18 : x
  2. Step 2: Convert to fraction form
    3,469.50/5,203.98 = 1,521.18/x
  3. Step 3: Cross multiply
    3,469.50x = 5,203.98 × 1,521.18
  4. Step 4: Simplify right side
    3,469.50x = 7,916,190.30
  5. Step 5: Solve for x
    x = 7,916,190.30/3,469.50
  6. Step 6: Final answer
    x = 2,281.65

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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.