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Finding the Fourth Proportional to 3,584.54, 4,946.46 and 2,092.52

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Solution

The fourth proportional to 3,584.54, 4,946.46 and 2,092.52 is: 2,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.54 : 4,946.46 = 2,092.52 : x
  2. Step 2: Convert to fraction form
    3,584.54/4,946.46 = 2,092.52/x
  3. Step 3: Cross multiply
    3,584.54x = 4,946.46 × 2,092.52
  4. Step 4: Simplify right side
    3,584.54x = 10,350,566.48
  5. Step 5: Solve for x
    x = 10,350,566.48/3,584.54
  6. Step 6: Final answer
    x = 2,887.56

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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.