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Finding the Fourth Proportional to 5,193.38, 7,166.88 and 2,835.47

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Solution

The fourth proportional to 5,193.38, 7,166.88 and 2,835.47 is: 3,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.38 : 7,166.88 = 2,835.47 : x
  2. Step 2: Convert to fraction form
    5,193.38/7,166.88 = 2,835.47/x
  3. Step 3: Cross multiply
    5,193.38x = 7,166.88 × 2,835.47
  4. Step 4: Simplify right side
    5,193.38x = 20,321,491.15
  5. Step 5: Solve for x
    x = 20,321,491.15/5,193.38
  6. Step 6: Final answer
    x = 3,912.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.