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Finding the Fourth Proportional to 3,524.87, 5,287.44 and 1,184.96

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Solution

The fourth proportional to 3,524.87, 5,287.44 and 1,184.96 is: 1,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.87 : 5,287.44 = 1,184.96 : x
  2. Step 2: Convert to fraction form
    3,524.87/5,287.44 = 1,184.96/x
  3. Step 3: Cross multiply
    3,524.87x = 5,287.44 × 1,184.96
  4. Step 4: Simplify right side
    3,524.87x = 6,265,375.50
  5. Step 5: Solve for x
    x = 6,265,375.50/3,524.87
  6. Step 6: Final answer
    x = 1,777.48

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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.