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Finding the Fourth Proportional to 3,951.40, 5,927.63 and 1,760.08

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Solution

The fourth proportional to 3,951.40, 5,927.63 and 1,760.08 is: 2,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.40 : 5,927.63 = 1,760.08 : x
  2. Step 2: Convert to fraction form
    3,951.40/5,927.63 = 1,760.08/x
  3. Step 3: Cross multiply
    3,951.40x = 5,927.63 × 1,760.08
  4. Step 4: Simplify right side
    3,951.40x = 10,433,103.01
  5. Step 5: Solve for x
    x = 10,433,103.01/3,951.40
  6. Step 6: Final answer
    x = 2,640.36

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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.