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Finding the Fourth Proportional to 3,189.63, 4,782.57 and 1,239.54

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Solution

The fourth proportional to 3,189.63, 4,782.57 and 1,239.54 is: 1,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.63 : 4,782.57 = 1,239.54 : x
  2. Step 2: Convert to fraction form
    3,189.63/4,782.57 = 1,239.54/x
  3. Step 3: Cross multiply
    3,189.63x = 4,782.57 × 1,239.54
  4. Step 4: Simplify right side
    3,189.63x = 5,928,186.82
  5. Step 5: Solve for x
    x = 5,928,186.82/3,189.63
  6. Step 6: Final answer
    x = 1,858.58

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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.