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Finding the Fourth Proportional to 6,194.58, 8,548.49 and 3,542.00

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Solution

The fourth proportional to 6,194.58, 8,548.49 and 3,542.00 is: 4,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.58 : 8,548.49 = 3,542.00 : x
  2. Step 2: Convert to fraction form
    6,194.58/8,548.49 = 3,542.00/x
  3. Step 3: Cross multiply
    6,194.58x = 8,548.49 × 3,542.00
  4. Step 4: Simplify right side
    6,194.58x = 30,278,691.13
  5. Step 5: Solve for x
    x = 30,278,691.13/6,194.58
  6. Step 6: Final answer
    x = 4,887.93

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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.