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Finding the Fourth Proportional to 4,883.68, 7,325.86 and 1,961.98

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Solution

The fourth proportional to 4,883.68, 7,325.86 and 1,961.98 is: 2,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.68 : 7,325.86 = 1,961.98 : x
  2. Step 2: Convert to fraction form
    4,883.68/7,325.86 = 1,961.98/x
  3. Step 3: Cross multiply
    4,883.68x = 7,325.86 × 1,961.98
  4. Step 4: Simplify right side
    4,883.68x = 14,373,190.80
  5. Step 5: Solve for x
    x = 14,373,190.80/4,883.68
  6. Step 6: Final answer
    x = 2,943.11

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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.