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Finding the Fourth Proportional to 5,299.89, 7,314.47 and 2,942.18

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Solution

The fourth proportional to 5,299.89, 7,314.47 and 2,942.18 is: 4,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.89 : 7,314.47 = 2,942.18 : x
  2. Step 2: Convert to fraction form
    5,299.89/7,314.47 = 2,942.18/x
  3. Step 3: Cross multiply
    5,299.89x = 7,314.47 × 2,942.18
  4. Step 4: Simplify right side
    5,299.89x = 21,520,487.34
  5. Step 5: Solve for x
    x = 21,520,487.34/5,299.89
  6. Step 6: Final answer
    x = 4,060.55

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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.