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Finding the Fourth Proportional to 6,284.21, 8,672.24 and 3,927.70

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Solution

The fourth proportional to 6,284.21, 8,672.24 and 3,927.70 is: 5,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.21 : 8,672.24 = 3,927.70 : x
  2. Step 2: Convert to fraction form
    6,284.21/8,672.24 = 3,927.70/x
  3. Step 3: Cross multiply
    6,284.21x = 8,672.24 × 3,927.70
  4. Step 4: Simplify right side
    6,284.21x = 34,061,894.05
  5. Step 5: Solve for x
    x = 34,061,894.05/6,284.21
  6. Step 6: Final answer
    x = 5,420.23

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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.