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Finding the Fourth Proportional to 4,477.56, 6,716.67 and 1,190.64

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Solution

The fourth proportional to 4,477.56, 6,716.67 and 1,190.64 is: 1,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.56 : 6,716.67 = 1,190.64 : x
  2. Step 2: Convert to fraction form
    4,477.56/6,716.67 = 1,190.64/x
  3. Step 3: Cross multiply
    4,477.56x = 6,716.67 × 1,190.64
  4. Step 4: Simplify right side
    4,477.56x = 7,997,135.97
  5. Step 5: Solve for x
    x = 7,997,135.97/4,477.56
  6. Step 6: Final answer
    x = 1,786.05

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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.