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Finding the Fourth Proportional to 6,181.94, 8,531.41 and 3,530.20

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Solution

The fourth proportional to 6,181.94, 8,531.41 and 3,530.20 is: 4,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.94 : 8,531.41 = 3,530.20 : x
  2. Step 2: Convert to fraction form
    6,181.94/8,531.41 = 3,530.20/x
  3. Step 3: Cross multiply
    6,181.94x = 8,531.41 × 3,530.20
  4. Step 4: Simplify right side
    6,181.94x = 30,117,540.92
  5. Step 5: Solve for x
    x = 30,117,540.92/6,181.94
  6. Step 6: Final answer
    x = 4,871.86

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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.