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Finding the Fourth Proportional to 5,059.50, 6,983.19 and 3,197.58

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Solution

The fourth proportional to 5,059.50, 6,983.19 and 3,197.58 is: 4,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.50 : 6,983.19 = 3,197.58 : x
  2. Step 2: Convert to fraction form
    5,059.50/6,983.19 = 3,197.58/x
  3. Step 3: Cross multiply
    5,059.50x = 6,983.19 × 3,197.58
  4. Step 4: Simplify right side
    5,059.50x = 22,329,308.68
  5. Step 5: Solve for x
    x = 22,329,308.68/5,059.50
  6. Step 6: Final answer
    x = 4,413.34

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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.