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Finding the Fourth Proportional to 3,410.28, 4,702.86 and 2,745

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Solution

The fourth proportional to 3,410.28, 4,702.86 and 2,745 is: 3,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.28 : 4,702.86 = 2,745 : x
  2. Step 2: Convert to fraction form
    3,410.28/4,702.86 = 2,745/x
  3. Step 3: Cross multiply
    3,410.28x = 4,702.86 × 2,745
  4. Step 4: Simplify right side
    3,410.28x = 12,909,350.70
  5. Step 5: Solve for x
    x = 12,909,350.70/3,410.28
  6. Step 6: Final answer
    x = 3,785.42

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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.