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Finding the Fourth Proportional to 4,137.14, 6,205.70 and 1,401.14

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Solution

The fourth proportional to 4,137.14, 6,205.70 and 1,401.14 is: 2,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.14 : 6,205.70 = 1,401.14 : x
  2. Step 2: Convert to fraction form
    4,137.14/6,205.70 = 1,401.14/x
  3. Step 3: Cross multiply
    4,137.14x = 6,205.70 × 1,401.14
  4. Step 4: Simplify right side
    4,137.14x = 8,695,054.50
  5. Step 5: Solve for x
    x = 8,695,054.50/4,137.14
  6. Step 6: Final answer
    x = 2,101.71

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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.