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Finding the Fourth Proportional to 4,134.09, 6,203.07 and 1,942.50

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Solution

The fourth proportional to 4,134.09, 6,203.07 and 1,942.50 is: 2,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.09 : 6,203.07 = 1,942.50 : x
  2. Step 2: Convert to fraction form
    4,134.09/6,203.07 = 1,942.50/x
  3. Step 3: Cross multiply
    4,134.09x = 6,203.07 × 1,942.50
  4. Step 4: Simplify right side
    4,134.09x = 12,049,463.48
  5. Step 5: Solve for x
    x = 12,049,463.48/4,134.09
  6. Step 6: Final answer
    x = 2,914.66

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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.