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Finding the Fourth Proportional to 3,816.92, 5,726.06 and 1,967.54

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Solution

The fourth proportional to 3,816.92, 5,726.06 and 1,967.54 is: 2,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.92 : 5,726.06 = 1,967.54 : x
  2. Step 2: Convert to fraction form
    3,816.92/5,726.06 = 1,967.54/x
  3. Step 3: Cross multiply
    3,816.92x = 5,726.06 × 1,967.54
  4. Step 4: Simplify right side
    3,816.92x = 11,266,221.00
  5. Step 5: Solve for x
    x = 11,266,221.00/3,816.92
  6. Step 6: Final answer
    x = 2,951.65

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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.