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Finding the Fourth Proportional to 5,309.43, 7,964.19 and 1,844.25

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Solution

The fourth proportional to 5,309.43, 7,964.19 and 1,844.25 is: 2,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.43 : 7,964.19 = 1,844.25 : x
  2. Step 2: Convert to fraction form
    5,309.43/7,964.19 = 1,844.25/x
  3. Step 3: Cross multiply
    5,309.43x = 7,964.19 × 1,844.25
  4. Step 4: Simplify right side
    5,309.43x = 14,687,957.41
  5. Step 5: Solve for x
    x = 14,687,957.41/5,309.43
  6. Step 6: Final answer
    x = 2,766.39

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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.