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Finding the Fourth Proportional to 5,173.74, 7,756.25 and 2,249.84

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Solution

The fourth proportional to 5,173.74, 7,756.25 and 2,249.84 is: 3,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.74 : 7,756.25 = 2,249.84 : x
  2. Step 2: Convert to fraction form
    5,173.74/7,756.25 = 2,249.84/x
  3. Step 3: Cross multiply
    5,173.74x = 7,756.25 × 2,249.84
  4. Step 4: Simplify right side
    5,173.74x = 17,450,321.50
  5. Step 5: Solve for x
    x = 17,450,321.50/5,173.74
  6. Step 6: Final answer
    x = 3,372.86

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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.