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Finding the Fourth Proportional to 3,646.62, 5,469.87 and 1,049.55

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Solution

The fourth proportional to 3,646.62, 5,469.87 and 1,049.55 is: 1,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.62 : 5,469.87 = 1,049.55 : x
  2. Step 2: Convert to fraction form
    3,646.62/5,469.87 = 1,049.55/x
  3. Step 3: Cross multiply
    3,646.62x = 5,469.87 × 1,049.55
  4. Step 4: Simplify right side
    3,646.62x = 5,740,902.06
  5. Step 5: Solve for x
    x = 5,740,902.06/3,646.62
  6. Step 6: Final answer
    x = 1,574.31

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1.5x scale

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.