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Finding the Fourth Proportional to 3,681.70, 5,522.55 and 908.42

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Solution

The fourth proportional to 3,681.70, 5,522.55 and 908.42 is: 1,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.70 : 5,522.55 = 908.42 : x
  2. Step 2: Convert to fraction form
    3,681.70/5,522.55 = 908.42/x
  3. Step 3: Cross multiply
    3,681.70x = 5,522.55 × 908.42
  4. Step 4: Simplify right side
    3,681.70x = 5,016,794.87
  5. Step 5: Solve for x
    x = 5,016,794.87/3,681.70
  6. Step 6: Final answer
    x = 1,362.63

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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.