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Finding the Fourth Proportional to 3,158.27, 4,734.73 and 1,308.23

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Solution

The fourth proportional to 3,158.27, 4,734.73 and 1,308.23 is: 1,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.27 : 4,734.73 = 1,308.23 : x
  2. Step 2: Convert to fraction form
    3,158.27/4,734.73 = 1,308.23/x
  3. Step 3: Cross multiply
    3,158.27x = 4,734.73 × 1,308.23
  4. Step 4: Simplify right side
    3,158.27x = 6,194,109.29
  5. Step 5: Solve for x
    x = 6,194,109.29/3,158.27
  6. Step 6: Final answer
    x = 1,961.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.