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Finding the Fourth Proportional to 4,266.89, 6,400.31 and 1,927.71

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Solution

The fourth proportional to 4,266.89, 6,400.31 and 1,927.71 is: 2,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.89 : 6,400.31 = 1,927.71 : x
  2. Step 2: Convert to fraction form
    4,266.89/6,400.31 = 1,927.71/x
  3. Step 3: Cross multiply
    4,266.89x = 6,400.31 × 1,927.71
  4. Step 4: Simplify right side
    4,266.89x = 12,337,946.41
  5. Step 5: Solve for x
    x = 12,337,946.41/4,266.89
  6. Step 6: Final answer
    x = 2,891.56

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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.