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Finding the Fourth Proportional to 6,194.49, 8,548.23 and 3,541.74

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Solution

The fourth proportional to 6,194.49, 8,548.23 and 3,541.74 is: 4,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.49 : 8,548.23 = 3,541.74 : x
  2. Step 2: Convert to fraction form
    6,194.49/8,548.23 = 3,541.74/x
  3. Step 3: Cross multiply
    6,194.49x = 8,548.23 × 3,541.74
  4. Step 4: Simplify right side
    6,194.49x = 30,275,608.12
  5. Step 5: Solve for x
    x = 30,275,608.12/6,194.49
  6. Step 6: Final answer
    x = 4,887.51

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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.