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Finding the Fourth Proportional to 3,469.48, 5,204.22 and 1,521.70

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Solution

The fourth proportional to 3,469.48, 5,204.22 and 1,521.70 is: 2,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.48 : 5,204.22 = 1,521.70 : x
  2. Step 2: Convert to fraction form
    3,469.48/5,204.22 = 1,521.70/x
  3. Step 3: Cross multiply
    3,469.48x = 5,204.22 × 1,521.70
  4. Step 4: Simplify right side
    3,469.48x = 7,919,261.57
  5. Step 5: Solve for x
    x = 7,919,261.57/3,469.48
  6. Step 6: Final answer
    x = 2,282.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.