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Finding the Fourth Proportional to 5,269.97, 7,905.81 and 1,983.32

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Solution

The fourth proportional to 5,269.97, 7,905.81 and 1,983.32 is: 2,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.97 : 7,905.81 = 1,983.32 : x
  2. Step 2: Convert to fraction form
    5,269.97/7,905.81 = 1,983.32/x
  3. Step 3: Cross multiply
    5,269.97x = 7,905.81 × 1,983.32
  4. Step 4: Simplify right side
    5,269.97x = 15,679,751.09
  5. Step 5: Solve for x
    x = 15,679,751.09/5,269.97
  6. Step 6: Final answer
    x = 2,975.30

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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.