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Finding the Fourth Proportional to 5,272.25, 7,849.61 and 5,198.66

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Solution

The fourth proportional to 5,272.25, 7,849.61 and 5,198.66 is: 7,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.25 : 7,849.61 = 5,198.66 : x
  2. Step 2: Convert to fraction form
    5,272.25/7,849.61 = 5,198.66/x
  3. Step 3: Cross multiply
    5,272.25x = 7,849.61 × 5,198.66
  4. Step 4: Simplify right side
    5,272.25x = 40,807,447.15
  5. Step 5: Solve for x
    x = 40,807,447.15/5,272.25
  6. Step 6: Final answer
    x = 7,740.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.