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Finding the Fourth Proportional to 3,934.98, 5,427.86 and 3,094.33

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Solution

The fourth proportional to 3,934.98, 5,427.86 and 3,094.33 is: 4,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.98 : 5,427.86 = 3,094.33 : x
  2. Step 2: Convert to fraction form
    3,934.98/5,427.86 = 3,094.33/x
  3. Step 3: Cross multiply
    3,934.98x = 5,427.86 × 3,094.33
  4. Step 4: Simplify right side
    3,934.98x = 16,795,590.03
  5. Step 5: Solve for x
    x = 16,795,590.03/3,934.98
  6. Step 6: Final answer
    x = 4,268.28

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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.