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Finding the Fourth Proportional to 4,477.38, 6,715.60 and 1,190.81

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Solution

The fourth proportional to 4,477.38, 6,715.60 and 1,190.81 is: 1,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.38 : 6,715.60 = 1,190.81 : x
  2. Step 2: Convert to fraction form
    4,477.38/6,715.60 = 1,190.81/x
  3. Step 3: Cross multiply
    4,477.38x = 6,715.60 × 1,190.81
  4. Step 4: Simplify right side
    4,477.38x = 7,996,996.73
  5. Step 5: Solve for x
    x = 7,996,996.73/4,477.38
  6. Step 6: Final answer
    x = 1,786.09

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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.