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Finding the Fourth Proportional to 5,192.54, 7,165.62 and 2,834.63

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Solution

The fourth proportional to 5,192.54, 7,165.62 and 2,834.63 is: 3,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.54 : 7,165.62 = 2,834.63 : x
  2. Step 2: Convert to fraction form
    5,192.54/7,165.62 = 2,834.63/x
  3. Step 3: Cross multiply
    5,192.54x = 7,165.62 × 2,834.63
  4. Step 4: Simplify right side
    5,192.54x = 20,311,845.59
  5. Step 5: Solve for x
    x = 20,311,845.59/5,192.54
  6. Step 6: Final answer
    x = 3,911.74

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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.