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Finding the Fourth Proportional to 5,898.52, 8,842.86 and 2,198.68

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Solution

The fourth proportional to 5,898.52, 8,842.86 and 2,198.68 is: 3,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.52 : 8,842.86 = 2,198.68 : x
  2. Step 2: Convert to fraction form
    5,898.52/8,842.86 = 2,198.68/x
  3. Step 3: Cross multiply
    5,898.52x = 8,842.86 × 2,198.68
  4. Step 4: Simplify right side
    5,898.52x = 19,442,619.42
  5. Step 5: Solve for x
    x = 19,442,619.42/5,898.52
  6. Step 6: Final answer
    x = 3,296.19

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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.