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Finding the Fourth Proportional to 4,272.80, 6,366.72 and 3,807

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Solution

The fourth proportional to 4,272.80, 6,366.72 and 3,807 is: 5,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.80 : 6,366.72 = 3,807 : x
  2. Step 2: Convert to fraction form
    4,272.80/6,366.72 = 3,807/x
  3. Step 3: Cross multiply
    4,272.80x = 6,366.72 × 3,807
  4. Step 4: Simplify right side
    4,272.80x = 24,238,103.04
  5. Step 5: Solve for x
    x = 24,238,103.04/4,272.80
  6. Step 6: Final answer
    x = 5,672.65

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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.