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Finding the Fourth Proportional to 5,202.79, 7,805.23 and 1,915.90

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Solution

The fourth proportional to 5,202.79, 7,805.23 and 1,915.90 is: 2,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.79 : 7,805.23 = 1,915.90 : x
  2. Step 2: Convert to fraction form
    5,202.79/7,805.23 = 1,915.90/x
  3. Step 3: Cross multiply
    5,202.79x = 7,805.23 × 1,915.90
  4. Step 4: Simplify right side
    5,202.79x = 14,954,015.85
  5. Step 5: Solve for x
    x = 14,954,015.85/5,202.79
  6. Step 6: Final answer
    x = 2,874.23

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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.