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Finding the Fourth Proportional to 5,071.66, 7,608.09 and 1,951.54

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Solution

The fourth proportional to 5,071.66, 7,608.09 and 1,951.54 is: 2,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.66 : 7,608.09 = 1,951.54 : x
  2. Step 2: Convert to fraction form
    5,071.66/7,608.09 = 1,951.54/x
  3. Step 3: Cross multiply
    5,071.66x = 7,608.09 × 1,951.54
  4. Step 4: Simplify right side
    5,071.66x = 14,847,491.96
  5. Step 5: Solve for x
    x = 14,847,491.96/5,071.66
  6. Step 6: Final answer
    x = 2,927.54

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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.