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Finding the Fourth Proportional to 5,801.42, 8,696.20 and 2,293.84

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Solution

The fourth proportional to 5,801.42, 8,696.20 and 2,293.84 is: 3,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.42 : 8,696.20 = 2,293.84 : x
  2. Step 2: Convert to fraction form
    5,801.42/8,696.20 = 2,293.84/x
  3. Step 3: Cross multiply
    5,801.42x = 8,696.20 × 2,293.84
  4. Step 4: Simplify right side
    5,801.42x = 19,947,729.33
  5. Step 5: Solve for x
    x = 19,947,729.33/5,801.42
  6. Step 6: Final answer
    x = 3,438.42

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