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Finding the Fourth Proportional to 3,735.64, 5,155.44 and 2,243.62

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Solution

The fourth proportional to 3,735.64, 5,155.44 and 2,243.62 is: 3,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.64 : 5,155.44 = 2,243.62 : x
  2. Step 2: Convert to fraction form
    3,735.64/5,155.44 = 2,243.62/x
  3. Step 3: Cross multiply
    3,735.64x = 5,155.44 × 2,243.62
  4. Step 4: Simplify right side
    3,735.64x = 11,566,848.29
  5. Step 5: Solve for x
    x = 11,566,848.29/3,735.64
  6. Step 6: Final answer
    x = 3,096.35

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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.