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Finding the Fourth Proportional to 3,476, 5,216.01 and 1,286.24

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Solution

The fourth proportional to 3,476, 5,216.01 and 1,286.24 is: 1,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476 : 5,216.01 = 1,286.24 : x
  2. Step 2: Convert to fraction form
    3,476/5,216.01 = 1,286.24/x
  3. Step 3: Cross multiply
    3,476x = 5,216.01 × 1,286.24
  4. Step 4: Simplify right side
    3,476x = 6,709,040.70
  5. Step 5: Solve for x
    x = 6,709,040.70/3,476
  6. Step 6: Final answer
    x = 1,930.10

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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.