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Finding the Fourth Proportional to 3,370.68, 4,654.26 and 2,705.40

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Solution

The fourth proportional to 3,370.68, 4,654.26 and 2,705.40 is: 3,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.68 : 4,654.26 = 2,705.40 : x
  2. Step 2: Convert to fraction form
    3,370.68/4,654.26 = 2,705.40/x
  3. Step 3: Cross multiply
    3,370.68x = 4,654.26 × 2,705.40
  4. Step 4: Simplify right side
    3,370.68x = 12,591,635.00
  5. Step 5: Solve for x
    x = 12,591,635.00/3,370.68
  6. Step 6: Final answer
    x = 3,735.64

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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.