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Finding the Fourth Proportional to 3,568.74, 5,353.11 and 2,107.10

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Solution

The fourth proportional to 3,568.74, 5,353.11 and 2,107.10 is: 3,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.74 : 5,353.11 = 2,107.10 : x
  2. Step 2: Convert to fraction form
    3,568.74/5,353.11 = 2,107.10/x
  3. Step 3: Cross multiply
    3,568.74x = 5,353.11 × 2,107.10
  4. Step 4: Simplify right side
    3,568.74x = 11,279,511.32
  5. Step 5: Solve for x
    x = 11,279,511.32/3,568.74
  6. Step 6: Final answer
    x = 3,160.64

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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.