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Finding the Fourth Proportional to 3,682.99, 5,524.89 and 1,343.71

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Solution

The fourth proportional to 3,682.99, 5,524.89 and 1,343.71 is: 2,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.99 : 5,524.89 = 1,343.71 : x
  2. Step 2: Convert to fraction form
    3,682.99/5,524.89 = 1,343.71/x
  3. Step 3: Cross multiply
    3,682.99x = 5,524.89 × 1,343.71
  4. Step 4: Simplify right side
    3,682.99x = 7,423,849.94
  5. Step 5: Solve for x
    x = 7,423,849.94/3,682.99
  6. Step 6: Final answer
    x = 2,015.71

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1.5x scale

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.