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Finding the Fourth Proportional to 5,240.56, 7,818.86 and 4,181.44

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Solution

The fourth proportional to 5,240.56, 7,818.86 and 4,181.44 is: 6,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.56 : 7,818.86 = 4,181.44 : x
  2. Step 2: Convert to fraction form
    5,240.56/7,818.86 = 4,181.44/x
  3. Step 3: Cross multiply
    5,240.56x = 7,818.86 × 4,181.44
  4. Step 4: Simplify right side
    5,240.56x = 32,694,093.96
  5. Step 5: Solve for x
    x = 32,694,093.96/5,240.56
  6. Step 6: Final answer
    x = 6,238.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.