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Finding the Fourth Proportional to 5,201.88, 7,178.22 and 3,212.47

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Solution

The fourth proportional to 5,201.88, 7,178.22 and 3,212.47 is: 4,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.88 : 7,178.22 = 3,212.47 : x
  2. Step 2: Convert to fraction form
    5,201.88/7,178.22 = 3,212.47/x
  3. Step 3: Cross multiply
    5,201.88x = 7,178.22 × 3,212.47
  4. Step 4: Simplify right side
    5,201.88x = 23,059,816.40
  5. Step 5: Solve for x
    x = 23,059,816.40/5,201.88
  6. Step 6: Final answer
    x = 4,432.98

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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.