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Finding the Fourth Proportional to 4,097.22, 6,144.21 and 2,645.70

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Solution

The fourth proportional to 4,097.22, 6,144.21 and 2,645.70 is: 3,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.22 : 6,144.21 = 2,645.70 : x
  2. Step 2: Convert to fraction form
    4,097.22/6,144.21 = 2,645.70/x
  3. Step 3: Cross multiply
    4,097.22x = 6,144.21 × 2,645.70
  4. Step 4: Simplify right side
    4,097.22x = 16,255,736.40
  5. Step 5: Solve for x
    x = 16,255,736.40/4,097.22
  6. Step 6: Final answer
    x = 3,967.50

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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.