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Finding the Fourth Proportional to 3,771.87, 5,658.73 and 2,213.16

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Solution

The fourth proportional to 3,771.87, 5,658.73 and 2,213.16 is: 3,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.87 : 5,658.73 = 2,213.16 : x
  2. Step 2: Convert to fraction form
    3,771.87/5,658.73 = 2,213.16/x
  3. Step 3: Cross multiply
    3,771.87x = 5,658.73 × 2,213.16
  4. Step 4: Simplify right side
    3,771.87x = 12,523,648.13
  5. Step 5: Solve for x
    x = 12,523,648.13/3,771.87
  6. Step 6: Final answer
    x = 3,320.28

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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.