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Finding the Fourth Proportional to 6,024.49, 8,311.57 and 3,754.80

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Solution

The fourth proportional to 6,024.49, 8,311.57 and 3,754.80 is: 5,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.49 : 8,311.57 = 3,754.80 : x
  2. Step 2: Convert to fraction form
    6,024.49/8,311.57 = 3,754.80/x
  3. Step 3: Cross multiply
    6,024.49x = 8,311.57 × 3,754.80
  4. Step 4: Simplify right side
    6,024.49x = 31,208,283.04
  5. Step 5: Solve for x
    x = 31,208,283.04/6,024.49
  6. Step 6: Final answer
    x = 5,180.24

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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.