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Finding the Fourth Proportional to 6,194.39, 8,548.70 and 3,542.63

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Solution

The fourth proportional to 6,194.39, 8,548.70 and 3,542.63 is: 4,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.39 : 8,548.70 = 3,542.63 : x
  2. Step 2: Convert to fraction form
    6,194.39/8,548.70 = 3,542.63/x
  3. Step 3: Cross multiply
    6,194.39x = 8,548.70 × 3,542.63
  4. Step 4: Simplify right side
    6,194.39x = 30,284,820.62
  5. Step 5: Solve for x
    x = 30,284,820.62/6,194.39
  6. Step 6: Final answer
    x = 4,889.08

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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.