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Finding the Fourth Proportional to 3,402.42, 5,103 and 1,211.22

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Solution

The fourth proportional to 3,402.42, 5,103 and 1,211.22 is: 1,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.42 : 5,103 = 1,211.22 : x
  2. Step 2: Convert to fraction form
    3,402.42/5,103 = 1,211.22/x
  3. Step 3: Cross multiply
    3,402.42x = 5,103 × 1,211.22
  4. Step 4: Simplify right side
    3,402.42x = 6,180,855.66
  5. Step 5: Solve for x
    x = 6,180,855.66/3,402.42
  6. Step 6: Final answer
    x = 1,816.61

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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.