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Finding the Fourth Proportional to 3,735.72, 5,153.76 and 2,243.16

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Solution

The fourth proportional to 3,735.72, 5,153.76 and 2,243.16 is: 3,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.72 : 5,153.76 = 2,243.16 : x
  2. Step 2: Convert to fraction form
    3,735.72/5,153.76 = 2,243.16/x
  3. Step 3: Cross multiply
    3,735.72x = 5,153.76 × 2,243.16
  4. Step 4: Simplify right side
    3,735.72x = 11,560,708.28
  5. Step 5: Solve for x
    x = 11,560,708.28/3,735.72
  6. Step 6: Final answer
    x = 3,094.64

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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.