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Finding the Fourth Proportional to 3,584.88, 4,947.48 and 2,188.56

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Solution

The fourth proportional to 3,584.88, 4,947.48 and 2,188.56 is: 3,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.88 : 4,947.48 = 2,188.56 : x
  2. Step 2: Convert to fraction form
    3,584.88/4,947.48 = 2,188.56/x
  3. Step 3: Cross multiply
    3,584.88x = 4,947.48 × 2,188.56
  4. Step 4: Simplify right side
    3,584.88x = 10,827,856.83
  5. Step 5: Solve for x
    x = 10,827,856.83/3,584.88
  6. Step 6: Final answer
    x = 3,020.42

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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.