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Finding the Fourth Proportional to 4,227.76, 6,339.71 and 2,252.89

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Solution

The fourth proportional to 4,227.76, 6,339.71 and 2,252.89 is: 3,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.76 : 6,339.71 = 2,252.89 : x
  2. Step 2: Convert to fraction form
    4,227.76/6,339.71 = 2,252.89/x
  3. Step 3: Cross multiply
    4,227.76x = 6,339.71 × 2,252.89
  4. Step 4: Simplify right side
    4,227.76x = 14,282,637.56
  5. Step 5: Solve for x
    x = 14,282,637.56/4,227.76
  6. Step 6: Final answer
    x = 3,378.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.