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Finding the Fourth Proportional to 6,181.92, 8,528.16 and 3,823.20

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Solution

The fourth proportional to 6,181.92, 8,528.16 and 3,823.20 is: 5,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.92 : 8,528.16 = 3,823.20 : x
  2. Step 2: Convert to fraction form
    6,181.92/8,528.16 = 3,823.20/x
  3. Step 3: Cross multiply
    6,181.92x = 8,528.16 × 3,823.20
  4. Step 4: Simplify right side
    6,181.92x = 32,604,861.31
  5. Step 5: Solve for x
    x = 32,604,861.31/6,181.92
  6. Step 6: Final answer
    x = 5,274.23

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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.