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Finding the Fourth Proportional to 4,944.80, 7,381.09 and 4,322

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Solution

The fourth proportional to 4,944.80, 7,381.09 and 4,322 is: 6,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.80 : 7,381.09 = 4,322 : x
  2. Step 2: Convert to fraction form
    4,944.80/7,381.09 = 4,322/x
  3. Step 3: Cross multiply
    4,944.80x = 7,381.09 × 4,322
  4. Step 4: Simplify right side
    4,944.80x = 31,901,070.98
  5. Step 5: Solve for x
    x = 31,901,070.98/4,944.80
  6. Step 6: Final answer
    x = 6,451.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.