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Finding the Fourth Proportional to 6,194.61, 8,549.08 and 3,542.87

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Solution

The fourth proportional to 6,194.61, 8,549.08 and 3,542.87 is: 4,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.61 : 8,549.08 = 3,542.87 : x
  2. Step 2: Convert to fraction form
    6,194.61/8,549.08 = 3,542.87/x
  3. Step 3: Cross multiply
    6,194.61x = 8,549.08 × 3,542.87
  4. Step 4: Simplify right side
    6,194.61x = 30,288,291.58
  5. Step 5: Solve for x
    x = 30,288,291.58/6,194.61
  6. Step 6: Final answer
    x = 4,889.46

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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.