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Finding the Fourth Proportional to 3,720.50, 5,134.07 and 2,228.07

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Solution

The fourth proportional to 3,720.50, 5,134.07 and 2,228.07 is: 3,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.50 : 5,134.07 = 2,228.07 : x
  2. Step 2: Convert to fraction form
    3,720.50/5,134.07 = 2,228.07/x
  3. Step 3: Cross multiply
    3,720.50x = 5,134.07 × 2,228.07
  4. Step 4: Simplify right side
    3,720.50x = 11,439,072.92
  5. Step 5: Solve for x
    x = 11,439,072.92/3,720.50
  6. Step 6: Final answer
    x = 3,074.61

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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.