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Finding the Fourth Proportional to 5,845.65, 8,066.93 and 3,193.05

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Solution

The fourth proportional to 5,845.65, 8,066.93 and 3,193.05 is: 4,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.65 : 8,066.93 = 3,193.05 : x
  2. Step 2: Convert to fraction form
    5,845.65/8,066.93 = 3,193.05/x
  3. Step 3: Cross multiply
    5,845.65x = 8,066.93 × 3,193.05
  4. Step 4: Simplify right side
    5,845.65x = 25,758,054.54
  5. Step 5: Solve for x
    x = 25,758,054.54/5,845.65
  6. Step 6: Final answer
    x = 4,406.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.