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Finding the Fourth Proportional to 6,047.28, 8,344.72 and 3,394.32

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Solution

The fourth proportional to 6,047.28, 8,344.72 and 3,394.32 is: 4,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.28 : 8,344.72 = 3,394.32 : x
  2. Step 2: Convert to fraction form
    6,047.28/8,344.72 = 3,394.32/x
  3. Step 3: Cross multiply
    6,047.28x = 8,344.72 × 3,394.32
  4. Step 4: Simplify right side
    6,047.28x = 28,324,649.99
  5. Step 5: Solve for x
    x = 28,324,649.99/6,047.28
  6. Step 6: Final answer
    x = 4,683.87

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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.