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Finding the Fourth Proportional to 5,297.94, 7,309.67 and 3,310.52

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Solution

The fourth proportional to 5,297.94, 7,309.67 and 3,310.52 is: 4,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.94 : 7,309.67 = 3,310.52 : x
  2. Step 2: Convert to fraction form
    5,297.94/7,309.67 = 3,310.52/x
  3. Step 3: Cross multiply
    5,297.94x = 7,309.67 × 3,310.52
  4. Step 4: Simplify right side
    5,297.94x = 24,198,755.63
  5. Step 5: Solve for x
    x = 24,198,755.63/5,297.94
  6. Step 6: Final answer
    x = 4,567.58

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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.