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Finding the Fourth Proportional to 3,741.60, 5,164.92 and 2,734.23

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Solution

The fourth proportional to 3,741.60, 5,164.92 and 2,734.23 is: 3,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.60 : 5,164.92 = 2,734.23 : x
  2. Step 2: Convert to fraction form
    3,741.60/5,164.92 = 2,734.23/x
  3. Step 3: Cross multiply
    3,741.60x = 5,164.92 × 2,734.23
  4. Step 4: Simplify right side
    3,741.60x = 14,122,079.21
  5. Step 5: Solve for x
    x = 14,122,079.21/3,741.60
  6. Step 6: Final answer
    x = 3,774.34

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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.