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Finding the Fourth Proportional to 3,898.87, 5,834.41 and 3,123.85

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Solution

The fourth proportional to 3,898.87, 5,834.41 and 3,123.85 is: 4,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.87 : 5,834.41 = 3,123.85 : x
  2. Step 2: Convert to fraction form
    3,898.87/5,834.41 = 3,123.85/x
  3. Step 3: Cross multiply
    3,898.87x = 5,834.41 × 3,123.85
  4. Step 4: Simplify right side
    3,898.87x = 18,225,821.68
  5. Step 5: Solve for x
    x = 18,225,821.68/3,898.87
  6. Step 6: Final answer
    x = 4,674.64

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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.