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Finding the Fourth Proportional to 6,148.41, 8,481.76 and 3,878.74

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Solution

The fourth proportional to 6,148.41, 8,481.76 and 3,878.74 is: 5,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.41 : 8,481.76 = 3,878.74 : x
  2. Step 2: Convert to fraction form
    6,148.41/8,481.76 = 3,878.74/x
  3. Step 3: Cross multiply
    6,148.41x = 8,481.76 × 3,878.74
  4. Step 4: Simplify right side
    6,148.41x = 32,898,516.80
  5. Step 5: Solve for x
    x = 32,898,516.80/6,148.41
  6. Step 6: Final answer
    x = 5,350.74

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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.