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Finding the Fourth Proportional to 5,696.54, 8,539.22 and 2,734.14

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Solution

The fourth proportional to 5,696.54, 8,539.22 and 2,734.14 is: 4,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.54 : 8,539.22 = 2,734.14 : x
  2. Step 2: Convert to fraction form
    5,696.54/8,539.22 = 2,734.14/x
  3. Step 3: Cross multiply
    5,696.54x = 8,539.22 × 2,734.14
  4. Step 4: Simplify right side
    5,696.54x = 23,347,422.97
  5. Step 5: Solve for x
    x = 23,347,422.97/5,696.54
  6. Step 6: Final answer
    x = 4,098.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.