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Finding the Fourth Proportional to 5,112.06, 7,672.76 and 2,648.66

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Solution

The fourth proportional to 5,112.06, 7,672.76 and 2,648.66 is: 3,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.06 : 7,672.76 = 2,648.66 : x
  2. Step 2: Convert to fraction form
    5,112.06/7,672.76 = 2,648.66/x
  3. Step 3: Cross multiply
    5,112.06x = 7,672.76 × 2,648.66
  4. Step 4: Simplify right side
    5,112.06x = 20,322,532.50
  5. Step 5: Solve for x
    x = 20,322,532.50/5,112.06
  6. Step 6: Final answer
    x = 3,975.41

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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.