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Finding the Fourth Proportional to 5,202.53, 7,801.72 and 2,083.32

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Solution

The fourth proportional to 5,202.53, 7,801.72 and 2,083.32 is: 3,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.53 : 7,801.72 = 2,083.32 : x
  2. Step 2: Convert to fraction form
    5,202.53/7,801.72 = 2,083.32/x
  3. Step 3: Cross multiply
    5,202.53x = 7,801.72 × 2,083.32
  4. Step 4: Simplify right side
    5,202.53x = 16,253,474.10
  5. Step 5: Solve for x
    x = 16,253,474.10/5,202.53
  6. Step 6: Final answer
    x = 3,124.15

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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.