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Finding the Fourth Proportional to 3,584.08, 4,946.43 and 3,469.26

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Solution

The fourth proportional to 3,584.08, 4,946.43 and 3,469.26 is: 4,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.08 : 4,946.43 = 3,469.26 : x
  2. Step 2: Convert to fraction form
    3,584.08/4,946.43 = 3,469.26/x
  3. Step 3: Cross multiply
    3,584.08x = 4,946.43 × 3,469.26
  4. Step 4: Simplify right side
    3,584.08x = 17,160,483.30
  5. Step 5: Solve for x
    x = 17,160,483.30/3,584.08
  6. Step 6: Final answer
    x = 4,787.97

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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.