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Finding the Fourth Proportional to 5,834.30, 8,744.15 and 4,596.82

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Solution

The fourth proportional to 5,834.30, 8,744.15 and 4,596.82 is: 6,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.30 : 8,744.15 = 4,596.82 : x
  2. Step 2: Convert to fraction form
    5,834.30/8,744.15 = 4,596.82/x
  3. Step 3: Cross multiply
    5,834.30x = 8,744.15 × 4,596.82
  4. Step 4: Simplify right side
    5,834.30x = 40,195,273.23
  5. Step 5: Solve for x
    x = 40,195,273.23/5,834.30
  6. Step 6: Final answer
    x = 6,889.48

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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.