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Finding the Fourth Proportional to 4,153.50, 5,725.44 and 2,734.74

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Solution

The fourth proportional to 4,153.50, 5,725.44 and 2,734.74 is: 3,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.50 : 5,725.44 = 2,734.74 : x
  2. Step 2: Convert to fraction form
    4,153.50/5,725.44 = 2,734.74/x
  3. Step 3: Cross multiply
    4,153.50x = 5,725.44 × 2,734.74
  4. Step 4: Simplify right side
    4,153.50x = 15,657,589.79
  5. Step 5: Solve for x
    x = 15,657,589.79/4,153.50
  6. Step 6: Final answer
    x = 3,769.73

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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.