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Finding the Fourth Proportional to 3,743, 5,615.46 and 2,690.04

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Solution

The fourth proportional to 3,743, 5,615.46 and 2,690.04 is: 4,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743 : 5,615.46 = 2,690.04 : x
  2. Step 2: Convert to fraction form
    3,743/5,615.46 = 2,690.04/x
  3. Step 3: Cross multiply
    3,743x = 5,615.46 × 2,690.04
  4. Step 4: Simplify right side
    3,743x = 15,105,812.02
  5. Step 5: Solve for x
    x = 15,105,812.02/3,743
  6. Step 6: Final answer
    x = 4,035.75

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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.