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Finding the Fourth Proportional to 4,196.86, 6,294.67 and 1,275.41

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Solution

The fourth proportional to 4,196.86, 6,294.67 and 1,275.41 is: 1,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.86 : 6,294.67 = 1,275.41 : x
  2. Step 2: Convert to fraction form
    4,196.86/6,294.67 = 1,275.41/x
  3. Step 3: Cross multiply
    4,196.86x = 6,294.67 × 1,275.41
  4. Step 4: Simplify right side
    4,196.86x = 8,028,285.06
  5. Step 5: Solve for x
    x = 8,028,285.06/4,196.86
  6. Step 6: Final answer
    x = 1,912.93

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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.