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Finding the Fourth Proportional to 3,433.83, 5,147.22 and 1,353

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Solution

The fourth proportional to 3,433.83, 5,147.22 and 1,353 is: 2,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.83 : 5,147.22 = 1,353 : x
  2. Step 2: Convert to fraction form
    3,433.83/5,147.22 = 1,353/x
  3. Step 3: Cross multiply
    3,433.83x = 5,147.22 × 1,353
  4. Step 4: Simplify right side
    3,433.83x = 6,964,188.66
  5. Step 5: Solve for x
    x = 6,964,188.66/3,433.83
  6. Step 6: Final answer
    x = 2,028.11

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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.