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Finding the Fourth Proportional to 5,200.00, 7,179.44 and 3,213.47

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Solution

The fourth proportional to 5,200.00, 7,179.44 and 3,213.47 is: 4,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.00 : 7,179.44 = 3,213.47 : x
  2. Step 2: Convert to fraction form
    5,200.00/7,179.44 = 3,213.47/x
  3. Step 3: Cross multiply
    5,200.00x = 7,179.44 × 3,213.47
  4. Step 4: Simplify right side
    5,200.00x = 23,070,916.94
  5. Step 5: Solve for x
    x = 23,070,916.94/5,200.00
  6. Step 6: Final answer
    x = 4,436.72

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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.