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Finding the Fourth Proportional to 3,584.48, 4,947.86 and 2,239.47

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Solution

The fourth proportional to 3,584.48, 4,947.86 and 2,239.47 is: 3,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.48 : 4,947.86 = 2,239.47 : x
  2. Step 2: Convert to fraction form
    3,584.48/4,947.86 = 2,239.47/x
  3. Step 3: Cross multiply
    3,584.48x = 4,947.86 × 2,239.47
  4. Step 4: Simplify right side
    3,584.48x = 11,080,589.63
  5. Step 5: Solve for x
    x = 11,080,589.63/3,584.48
  6. Step 6: Final answer
    x = 3,091.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.