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Finding the Fourth Proportional to 5,220, 7,202.94 and 2,861.52

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Solution

The fourth proportional to 5,220, 7,202.94 and 2,861.52 is: 3,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220 : 7,202.94 = 2,861.52 : x
  2. Step 2: Convert to fraction form
    5,220/7,202.94 = 2,861.52/x
  3. Step 3: Cross multiply
    5,220x = 7,202.94 × 2,861.52
  4. Step 4: Simplify right side
    5,220x = 20,611,356.87
  5. Step 5: Solve for x
    x = 20,611,356.87/5,220
  6. Step 6: Final answer
    x = 3,948.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.