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Finding the Fourth Proportional to 6,427.58, 8,872.14 and 3,774.92

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Solution

The fourth proportional to 6,427.58, 8,872.14 and 3,774.92 is: 5,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.58 : 8,872.14 = 3,774.92 : x
  2. Step 2: Convert to fraction form
    6,427.58/8,872.14 = 3,774.92/x
  3. Step 3: Cross multiply
    6,427.58x = 8,872.14 × 3,774.92
  4. Step 4: Simplify right side
    6,427.58x = 33,491,618.73
  5. Step 5: Solve for x
    x = 33,491,618.73/6,427.58
  6. Step 6: Final answer
    x = 5,210.61

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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.