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Finding the Fourth Proportional to 6,091.08, 8,419.86 and 5,434.44

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Solution

The fourth proportional to 6,091.08, 8,419.86 and 5,434.44 is: 7,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.08 : 8,419.86 = 5,434.44 : x
  2. Step 2: Convert to fraction form
    6,091.08/8,419.86 = 5,434.44/x
  3. Step 3: Cross multiply
    6,091.08x = 8,419.86 × 5,434.44
  4. Step 4: Simplify right side
    6,091.08x = 45,757,223.98
  5. Step 5: Solve for x
    x = 45,757,223.98/6,091.08
  6. Step 6: Final answer
    x = 7,512.17

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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.