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Finding the Fourth Proportional to 3,773.58, 5,658.39 and 2,105.23

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Solution

The fourth proportional to 3,773.58, 5,658.39 and 2,105.23 is: 3,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.58 : 5,658.39 = 2,105.23 : x
  2. Step 2: Convert to fraction form
    3,773.58/5,658.39 = 2,105.23/x
  3. Step 3: Cross multiply
    3,773.58x = 5,658.39 × 2,105.23
  4. Step 4: Simplify right side
    3,773.58x = 11,912,212.38
  5. Step 5: Solve for x
    x = 11,912,212.38/3,773.58
  6. Step 6: Final answer
    x = 3,156.74

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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.