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Finding the Fourth Proportional to 3,273.29, 4,909.39 and 964.25

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Solution

The fourth proportional to 3,273.29, 4,909.39 and 964.25 is: 1,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.29 : 4,909.39 = 964.25 : x
  2. Step 2: Convert to fraction form
    3,273.29/4,909.39 = 964.25/x
  3. Step 3: Cross multiply
    3,273.29x = 4,909.39 × 964.25
  4. Step 4: Simplify right side
    3,273.29x = 4,733,879.31
  5. Step 5: Solve for x
    x = 4,733,879.31/3,273.29
  6. Step 6: Final answer
    x = 1,446.21

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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.