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Finding the Fourth Proportional to 5,919.98, 8,144.42 and 5,755.95

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Solution

The fourth proportional to 5,919.98, 8,144.42 and 5,755.95 is: 7,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.98 : 8,144.42 = 5,755.95 : x
  2. Step 2: Convert to fraction form
    5,919.98/8,144.42 = 5,755.95/x
  3. Step 3: Cross multiply
    5,919.98x = 8,144.42 × 5,755.95
  4. Step 4: Simplify right side
    5,919.98x = 46,878,845.52
  5. Step 5: Solve for x
    x = 46,878,845.52/5,919.98
  6. Step 6: Final answer
    x = 7,918.76

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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.