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Finding the Fourth Proportional to 4,140.88, 6,212 and 1,367.71

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Solution

The fourth proportional to 4,140.88, 6,212 and 1,367.71 is: 2,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.88 : 6,212 = 1,367.71 : x
  2. Step 2: Convert to fraction form
    4,140.88/6,212 = 1,367.71/x
  3. Step 3: Cross multiply
    4,140.88x = 6,212 × 1,367.71
  4. Step 4: Simplify right side
    4,140.88x = 8,496,214.52
  5. Step 5: Solve for x
    x = 8,496,214.52/4,140.88
  6. Step 6: Final answer
    x = 2,051.79

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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.