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Finding the Fourth Proportional to 5,192.37, 7,165.37 and 2,834.53

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Solution

The fourth proportional to 5,192.37, 7,165.37 and 2,834.53 is: 3,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.37 : 7,165.37 = 2,834.53 : x
  2. Step 2: Convert to fraction form
    5,192.37/7,165.37 = 2,834.53/x
  3. Step 3: Cross multiply
    5,192.37x = 7,165.37 × 2,834.53
  4. Step 4: Simplify right side
    5,192.37x = 20,310,445.40
  5. Step 5: Solve for x
    x = 20,310,445.40/5,192.37
  6. Step 6: Final answer
    x = 3,911.59

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