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Finding the Fourth Proportional to 3,735.81, 5,155.47 and 2,243.88

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Solution

The fourth proportional to 3,735.81, 5,155.47 and 2,243.88 is: 3,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.81 : 5,155.47 = 2,243.88 : x
  2. Step 2: Convert to fraction form
    3,735.81/5,155.47 = 2,243.88/x
  3. Step 3: Cross multiply
    3,735.81x = 5,155.47 × 2,243.88
  4. Step 4: Simplify right side
    3,735.81x = 11,568,256.02
  5. Step 5: Solve for x
    x = 11,568,256.02/3,735.81
  6. Step 6: Final answer
    x = 3,096.59

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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.