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Finding the Fourth Proportional to 3,401.62, 5,102.50 and 1,093.12

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Solution

The fourth proportional to 3,401.62, 5,102.50 and 1,093.12 is: 1,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.62 : 5,102.50 = 1,093.12 : x
  2. Step 2: Convert to fraction form
    3,401.62/5,102.50 = 1,093.12/x
  3. Step 3: Cross multiply
    3,401.62x = 5,102.50 × 1,093.12
  4. Step 4: Simplify right side
    3,401.62x = 5,577,644.80
  5. Step 5: Solve for x
    x = 5,577,644.80/3,401.62
  6. Step 6: Final answer
    x = 1,639.70

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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.