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Finding the Fourth Proportional to 3,428.87, 5,147.01 and 2,568.65

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Solution

The fourth proportional to 3,428.87, 5,147.01 and 2,568.65 is: 3,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.87 : 5,147.01 = 2,568.65 : x
  2. Step 2: Convert to fraction form
    3,428.87/5,147.01 = 2,568.65/x
  3. Step 3: Cross multiply
    3,428.87x = 5,147.01 × 2,568.65
  4. Step 4: Simplify right side
    3,428.87x = 13,220,841.50
  5. Step 5: Solve for x
    x = 13,220,841.50/3,428.87
  6. Step 6: Final answer
    x = 3,855.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.