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Finding the Fourth Proportional to 3,687.72, 5,523.07 and 2,223.64

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Solution

The fourth proportional to 3,687.72, 5,523.07 and 2,223.64 is: 3,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.72 : 5,523.07 = 2,223.64 : x
  2. Step 2: Convert to fraction form
    3,687.72/5,523.07 = 2,223.64/x
  3. Step 3: Cross multiply
    3,687.72x = 5,523.07 × 2,223.64
  4. Step 4: Simplify right side
    3,687.72x = 12,281,319.37
  5. Step 5: Solve for x
    x = 12,281,319.37/3,687.72
  6. Step 6: Final answer
    x = 3,330.33

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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.