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Finding the Fourth Proportional to 5,944.69, 8,917.04 and 1,785.14

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Solution

The fourth proportional to 5,944.69, 8,917.04 and 1,785.14 is: 2,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.69 : 8,917.04 = 1,785.14 : x
  2. Step 2: Convert to fraction form
    5,944.69/8,917.04 = 1,785.14/x
  3. Step 3: Cross multiply
    5,944.69x = 8,917.04 × 1,785.14
  4. Step 4: Simplify right side
    5,944.69x = 15,918,148.06
  5. Step 5: Solve for x
    x = 15,918,148.06/5,944.69
  6. Step 6: Final answer
    x = 2,677.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.