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Finding the Fourth Proportional to 5,311.24, 7,969.98 and 4,741

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Solution

The fourth proportional to 5,311.24, 7,969.98 and 4,741 is: 7,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.24 : 7,969.98 = 4,741 : x
  2. Step 2: Convert to fraction form
    5,311.24/7,969.98 = 4,741/x
  3. Step 3: Cross multiply
    5,311.24x = 7,969.98 × 4,741
  4. Step 4: Simplify right side
    5,311.24x = 37,785,675.18
  5. Step 5: Solve for x
    x = 37,785,675.18/5,311.24
  6. Step 6: Final answer
    x = 7,114.29

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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.