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Finding the Fourth Proportional to 3,568.37, 5,353.41 and 1,228.41

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Solution

The fourth proportional to 3,568.37, 5,353.41 and 1,228.41 is: 1,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.37 : 5,353.41 = 1,228.41 : x
  2. Step 2: Convert to fraction form
    3,568.37/5,353.41 = 1,228.41/x
  3. Step 3: Cross multiply
    3,568.37x = 5,353.41 × 1,228.41
  4. Step 4: Simplify right side
    3,568.37x = 6,576,182.38
  5. Step 5: Solve for x
    x = 6,576,182.38/3,568.37
  6. Step 6: Final answer
    x = 1,842.91

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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.