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Finding the Fourth Proportional to 4,474.44, 6,711.14 and 1,187.79

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Solution

The fourth proportional to 4,474.44, 6,711.14 and 1,187.79 is: 1,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.44 : 6,711.14 = 1,187.79 : x
  2. Step 2: Convert to fraction form
    4,474.44/6,711.14 = 1,187.79/x
  3. Step 3: Cross multiply
    4,474.44x = 6,711.14 × 1,187.79
  4. Step 4: Simplify right side
    4,474.44x = 7,971,393.87
  5. Step 5: Solve for x
    x = 7,971,393.87/4,474.44
  6. Step 6: Final answer
    x = 1,781.54

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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.