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Finding the Fourth Proportional to 3,522.98, 5,286.64 and 2,064.98

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Solution

The fourth proportional to 3,522.98, 5,286.64 and 2,064.98 is: 3,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.98 : 5,286.64 = 2,064.98 : x
  2. Step 2: Convert to fraction form
    3,522.98/5,286.64 = 2,064.98/x
  3. Step 3: Cross multiply
    3,522.98x = 5,286.64 × 2,064.98
  4. Step 4: Simplify right side
    3,522.98x = 10,916,805.87
  5. Step 5: Solve for x
    x = 10,916,805.87/3,522.98
  6. Step 6: Final answer
    x = 3,098.74

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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.