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Finding the Fourth Proportional to 5,202.06, 7,805.70 and 2,084.32

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Solution

The fourth proportional to 5,202.06, 7,805.70 and 2,084.32 is: 3,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.06 : 7,805.70 = 2,084.32 : x
  2. Step 2: Convert to fraction form
    5,202.06/7,805.70 = 2,084.32/x
  3. Step 3: Cross multiply
    5,202.06x = 7,805.70 × 2,084.32
  4. Step 4: Simplify right side
    5,202.06x = 16,269,576.62
  5. Step 5: Solve for x
    x = 16,269,576.62/5,202.06
  6. Step 6: Final answer
    x = 3,127.53

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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.