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Finding the Fourth Proportional to 6,085.41, 8,399.22 and 3,957.24

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Solution

The fourth proportional to 6,085.41, 8,399.22 and 3,957.24 is: 5,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.41 : 8,399.22 = 3,957.24 : x
  2. Step 2: Convert to fraction form
    6,085.41/8,399.22 = 3,957.24/x
  3. Step 3: Cross multiply
    6,085.41x = 8,399.22 × 3,957.24
  4. Step 4: Simplify right side
    6,085.41x = 33,237,667.57
  5. Step 5: Solve for x
    x = 33,237,667.57/6,085.41
  6. Step 6: Final answer
    x = 5,461.86

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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.