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Finding the Fourth Proportional to 3,772.69, 5,202.15 and 3,270.89

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Solution

The fourth proportional to 3,772.69, 5,202.15 and 3,270.89 is: 4,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.69 : 5,202.15 = 3,270.89 : x
  2. Step 2: Convert to fraction form
    3,772.69/5,202.15 = 3,270.89/x
  3. Step 3: Cross multiply
    3,772.69x = 5,202.15 × 3,270.89
  4. Step 4: Simplify right side
    3,772.69x = 17,015,660.41
  5. Step 5: Solve for x
    x = 17,015,660.41/3,772.69
  6. Step 6: Final answer
    x = 4,510.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.