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Finding the Fourth Proportional to 5,269.96, 7,905.35 and 1,982.98

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Solution

The fourth proportional to 5,269.96, 7,905.35 and 1,982.98 is: 2,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.96 : 7,905.35 = 1,982.98 : x
  2. Step 2: Convert to fraction form
    5,269.96/7,905.35 = 1,982.98/x
  3. Step 3: Cross multiply
    5,269.96x = 7,905.35 × 1,982.98
  4. Step 4: Simplify right side
    5,269.96x = 15,676,121.26
  5. Step 5: Solve for x
    x = 15,676,121.26/5,269.96
  6. Step 6: Final answer
    x = 2,974.62

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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.