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Finding the Fourth Proportional to 4,203.50, 6,302.92 and 1,949.57

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Solution

The fourth proportional to 4,203.50, 6,302.92 and 1,949.57 is: 2,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.50 : 6,302.92 = 1,949.57 : x
  2. Step 2: Convert to fraction form
    4,203.50/6,302.92 = 1,949.57/x
  3. Step 3: Cross multiply
    4,203.50x = 6,302.92 × 1,949.57
  4. Step 4: Simplify right side
    4,203.50x = 12,287,983.74
  5. Step 5: Solve for x
    x = 12,287,983.74/4,203.50
  6. Step 6: Final answer
    x = 2,923.27

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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.