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Finding the Fourth Proportional to 4,283.50, 6,425.11 and 1,941.79

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Solution

The fourth proportional to 4,283.50, 6,425.11 and 1,941.79 is: 2,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.50 : 6,425.11 = 1,941.79 : x
  2. Step 2: Convert to fraction form
    4,283.50/6,425.11 = 1,941.79/x
  3. Step 3: Cross multiply
    4,283.50x = 6,425.11 × 1,941.79
  4. Step 4: Simplify right side
    4,283.50x = 12,476,214.35
  5. Step 5: Solve for x
    x = 12,476,214.35/4,283.50
  6. Step 6: Final answer
    x = 2,912.62

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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.