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Finding the Fourth Proportional to 4,893.70, 7,336.23 and 2,299.78

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Solution

The fourth proportional to 4,893.70, 7,336.23 and 2,299.78 is: 3,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.70 : 7,336.23 = 2,299.78 : x
  2. Step 2: Convert to fraction form
    4,893.70/7,336.23 = 2,299.78/x
  3. Step 3: Cross multiply
    4,893.70x = 7,336.23 × 2,299.78
  4. Step 4: Simplify right side
    4,893.70x = 16,871,715.03
  5. Step 5: Solve for x
    x = 16,871,715.03/4,893.70
  6. Step 6: Final answer
    x = 3,447.64

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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.