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Finding the Fourth Proportional to 4,200.50, 6,296.50 and 1,736.68

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Solution

The fourth proportional to 4,200.50, 6,296.50 and 1,736.68 is: 2,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.50 : 6,296.50 = 1,736.68 : x
  2. Step 2: Convert to fraction form
    4,200.50/6,296.50 = 1,736.68/x
  3. Step 3: Cross multiply
    4,200.50x = 6,296.50 × 1,736.68
  4. Step 4: Simplify right side
    4,200.50x = 10,935,005.62
  5. Step 5: Solve for x
    x = 10,935,005.62/4,200.50
  6. Step 6: Final answer
    x = 2,603.26

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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.