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Finding the Fourth Proportional to 3,425.01, 5,137.11 and 1,346.55

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Solution

The fourth proportional to 3,425.01, 5,137.11 and 1,346.55 is: 2,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.01 : 5,137.11 = 1,346.55 : x
  2. Step 2: Convert to fraction form
    3,425.01/5,137.11 = 1,346.55/x
  3. Step 3: Cross multiply
    3,425.01x = 5,137.11 × 1,346.55
  4. Step 4: Simplify right side
    3,425.01x = 6,917,375.47
  5. Step 5: Solve for x
    x = 6,917,375.47/3,425.01
  6. Step 6: Final answer
    x = 2,019.67

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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.