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Finding the Fourth Proportional to 3,683.80, 5,082.50 and 2,266

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Solution

The fourth proportional to 3,683.80, 5,082.50 and 2,266 is: 3,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.80 : 5,082.50 = 2,266 : x
  2. Step 2: Convert to fraction form
    3,683.80/5,082.50 = 2,266/x
  3. Step 3: Cross multiply
    3,683.80x = 5,082.50 × 2,266
  4. Step 4: Simplify right side
    3,683.80x = 11,516,945
  5. Step 5: Solve for x
    x = 11,516,945/3,683.80
  6. Step 6: Final answer
    x = 3,126.38

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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.