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Finding the Fourth Proportional to 5,898.31, 8,849.48 and 3,704.47

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Solution

The fourth proportional to 5,898.31, 8,849.48 and 3,704.47 is: 5,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.31 : 8,849.48 = 3,704.47 : x
  2. Step 2: Convert to fraction form
    5,898.31/8,849.48 = 3,704.47/x
  3. Step 3: Cross multiply
    5,898.31x = 8,849.48 × 3,704.47
  4. Step 4: Simplify right side
    5,898.31x = 32,782,614.65
  5. Step 5: Solve for x
    x = 32,782,614.65/5,898.31
  6. Step 6: Final answer
    x = 5,557.97

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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.