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Finding the Fourth Proportional to 5,735.73, 8,606.07 and 2,228.16

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Solution

The fourth proportional to 5,735.73, 8,606.07 and 2,228.16 is: 3,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.73 : 8,606.07 = 2,228.16 : x
  2. Step 2: Convert to fraction form
    5,735.73/8,606.07 = 2,228.16/x
  3. Step 3: Cross multiply
    5,735.73x = 8,606.07 × 2,228.16
  4. Step 4: Simplify right side
    5,735.73x = 19,175,700.93
  5. Step 5: Solve for x
    x = 19,175,700.93/5,735.73
  6. Step 6: Final answer
    x = 3,343.20

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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.