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Finding the Fourth Proportional to 5,898.83, 8,849.45 and 1,738.49

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Solution

The fourth proportional to 5,898.83, 8,849.45 and 1,738.49 is: 2,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.83 : 8,849.45 = 1,738.49 : x
  2. Step 2: Convert to fraction form
    5,898.83/8,849.45 = 1,738.49/x
  3. Step 3: Cross multiply
    5,898.83x = 8,849.45 × 1,738.49
  4. Step 4: Simplify right side
    5,898.83x = 15,384,640.43
  5. Step 5: Solve for x
    x = 15,384,640.43/5,898.83
  6. Step 6: Final answer
    x = 2,608.09

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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.