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Finding the Fourth Proportional to 4,947.86, 7,422.02 and 2,754.94

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Solution

The fourth proportional to 4,947.86, 7,422.02 and 2,754.94 is: 4,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.86 : 7,422.02 = 2,754.94 : x
  2. Step 2: Convert to fraction form
    4,947.86/7,422.02 = 2,754.94/x
  3. Step 3: Cross multiply
    4,947.86x = 7,422.02 × 2,754.94
  4. Step 4: Simplify right side
    4,947.86x = 20,447,219.78
  5. Step 5: Solve for x
    x = 20,447,219.78/4,947.86
  6. Step 6: Final answer
    x = 4,132.54

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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.