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Finding the Fourth Proportional to 5,898.38, 8,847.79 and 1,949.74

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Solution

The fourth proportional to 5,898.38, 8,847.79 and 1,949.74 is: 2,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.38 : 8,847.79 = 1,949.74 : x
  2. Step 2: Convert to fraction form
    5,898.38/8,847.79 = 1,949.74/x
  3. Step 3: Cross multiply
    5,898.38x = 8,847.79 × 1,949.74
  4. Step 4: Simplify right side
    5,898.38x = 17,250,890.07
  5. Step 5: Solve for x
    x = 17,250,890.07/5,898.38
  6. Step 6: Final answer
    x = 2,924.68

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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.