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Finding the Fourth Proportional to 6,194.35, 8,548.62 and 3,505.57

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Solution

The fourth proportional to 6,194.35, 8,548.62 and 3,505.57 is: 4,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.35 : 8,548.62 = 3,505.57 : x
  2. Step 2: Convert to fraction form
    6,194.35/8,548.62 = 3,505.57/x
  3. Step 3: Cross multiply
    6,194.35x = 8,548.62 × 3,505.57
  4. Step 4: Simplify right side
    6,194.35x = 29,967,734.31
  5. Step 5: Solve for x
    x = 29,967,734.31/6,194.35
  6. Step 6: Final answer
    x = 4,837.92

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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.