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Finding the Fourth Proportional to 5,192.34, 7,165.44 and 2,834.52

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Solution

The fourth proportional to 5,192.34, 7,165.44 and 2,834.52 is: 3,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.34 : 7,165.44 = 2,834.52 : x
  2. Step 2: Convert to fraction form
    5,192.34/7,165.44 = 2,834.52/x
  3. Step 3: Cross multiply
    5,192.34x = 7,165.44 × 2,834.52
  4. Step 4: Simplify right side
    5,192.34x = 20,310,582.99
  5. Step 5: Solve for x
    x = 20,310,582.99/5,192.34
  6. Step 6: Final answer
    x = 3,911.64

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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.