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Finding the Fourth Proportional to 4,132.09, 6,200.07 and 1,940.50

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Solution

The fourth proportional to 4,132.09, 6,200.07 and 1,940.50 is: 2,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.09 : 6,200.07 = 1,940.50 : x
  2. Step 2: Convert to fraction form
    4,132.09/6,200.07 = 1,940.50/x
  3. Step 3: Cross multiply
    4,132.09x = 6,200.07 × 1,940.50
  4. Step 4: Simplify right side
    4,132.09x = 12,031,235.84
  5. Step 5: Solve for x
    x = 12,031,235.84/4,132.09
  6. Step 6: Final answer
    x = 2,911.66

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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.