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Finding the Fourth Proportional to 5,944.93, 8,917.77 and 1,996.02

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Solution

The fourth proportional to 5,944.93, 8,917.77 and 1,996.02 is: 2,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.93 : 8,917.77 = 1,996.02 : x
  2. Step 2: Convert to fraction form
    5,944.93/8,917.77 = 1,996.02/x
  3. Step 3: Cross multiply
    5,944.93x = 8,917.77 × 1,996.02
  4. Step 4: Simplify right side
    5,944.93x = 17,800,097.50
  5. Step 5: Solve for x
    x = 17,800,097.50/5,944.93
  6. Step 6: Final answer
    x = 2,994.17

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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.