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Finding the Fourth Proportional to 3,834.99, 5,748.17 and 1,888.56

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Solution

The fourth proportional to 3,834.99, 5,748.17 and 1,888.56 is: 2,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.99 : 5,748.17 = 1,888.56 : x
  2. Step 2: Convert to fraction form
    3,834.99/5,748.17 = 1,888.56/x
  3. Step 3: Cross multiply
    3,834.99x = 5,748.17 × 1,888.56
  4. Step 4: Simplify right side
    3,834.99x = 10,855,754.49
  5. Step 5: Solve for x
    x = 10,855,754.49/3,834.99
  6. Step 6: Final answer
    x = 2,830.71

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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.