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Finding the Fourth Proportional to 4,786.57, 7,180.25 and 1,323.82

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Solution

The fourth proportional to 4,786.57, 7,180.25 and 1,323.82 is: 1,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.57 : 7,180.25 = 1,323.82 : x
  2. Step 2: Convert to fraction form
    4,786.57/7,180.25 = 1,323.82/x
  3. Step 3: Cross multiply
    4,786.57x = 7,180.25 × 1,323.82
  4. Step 4: Simplify right side
    4,786.57x = 9,505,351.94
  5. Step 5: Solve for x
    x = 9,505,351.94/4,786.57
  6. Step 6: Final answer
    x = 1,985.84

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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.