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Finding the Fourth Proportional to 3,584.28, 4,947.36 and 2,167.74

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Solution

The fourth proportional to 3,584.28, 4,947.36 and 2,167.74 is: 2,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.28 : 4,947.36 = 2,167.74 : x
  2. Step 2: Convert to fraction form
    3,584.28/4,947.36 = 2,167.74/x
  3. Step 3: Cross multiply
    3,584.28x = 4,947.36 × 2,167.74
  4. Step 4: Simplify right side
    3,584.28x = 10,724,590.17
  5. Step 5: Solve for x
    x = 10,724,590.17/3,584.28
  6. Step 6: Final answer
    x = 2,992.12

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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.