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Finding the Fourth Proportional to 3,682.75, 5,082.53 and 2,266.80

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Solution

The fourth proportional to 3,682.75, 5,082.53 and 2,266.80 is: 3,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.75 : 5,082.53 = 2,266.80 : x
  2. Step 2: Convert to fraction form
    3,682.75/5,082.53 = 2,266.80/x
  3. Step 3: Cross multiply
    3,682.75x = 5,082.53 × 2,266.80
  4. Step 4: Simplify right side
    3,682.75x = 11,521,079.00
  5. Step 5: Solve for x
    x = 11,521,079.00/3,682.75
  6. Step 6: Final answer
    x = 3,128.39

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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.