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Finding the Fourth Proportional to 3,604.70, 5,409.17 and 1,524.56

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Solution

The fourth proportional to 3,604.70, 5,409.17 and 1,524.56 is: 2,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.70 : 5,409.17 = 1,524.56 : x
  2. Step 2: Convert to fraction form
    3,604.70/5,409.17 = 1,524.56/x
  3. Step 3: Cross multiply
    3,604.70x = 5,409.17 × 1,524.56
  4. Step 4: Simplify right side
    3,604.70x = 8,246,604.22
  5. Step 5: Solve for x
    x = 8,246,604.22/3,604.70
  6. Step 6: Final answer
    x = 2,287.74

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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.