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Finding the Fourth Proportional to 6,092.28, 8,406.72 and 3,439.80

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Solution

The fourth proportional to 6,092.28, 8,406.72 and 3,439.80 is: 4,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.28 : 8,406.72 = 3,439.80 : x
  2. Step 2: Convert to fraction form
    6,092.28/8,406.72 = 3,439.80/x
  3. Step 3: Cross multiply
    6,092.28x = 8,406.72 × 3,439.80
  4. Step 4: Simplify right side
    6,092.28x = 28,917,435.46
  5. Step 5: Solve for x
    x = 28,917,435.46/6,092.28
  6. Step 6: Final answer
    x = 4,746.57

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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.