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Finding the Fourth Proportional to 5,299.85, 7,313.57 and 2,942.15

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Solution

The fourth proportional to 5,299.85, 7,313.57 and 2,942.15 is: 4,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.85 : 7,313.57 = 2,942.15 : x
  2. Step 2: Convert to fraction form
    5,299.85/7,313.57 = 2,942.15/x
  3. Step 3: Cross multiply
    5,299.85x = 7,313.57 × 2,942.15
  4. Step 4: Simplify right side
    5,299.85x = 21,517,568.70
  5. Step 5: Solve for x
    x = 21,517,568.70/5,299.85
  6. Step 6: Final answer
    x = 4,060.04

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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.