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Finding the Fourth Proportional to 5,912.54, 8,158.41 and 3,394.76

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Solution

The fourth proportional to 5,912.54, 8,158.41 and 3,394.76 is: 4,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.54 : 8,158.41 = 3,394.76 : x
  2. Step 2: Convert to fraction form
    5,912.54/8,158.41 = 3,394.76/x
  3. Step 3: Cross multiply
    5,912.54x = 8,158.41 × 3,394.76
  4. Step 4: Simplify right side
    5,912.54x = 27,695,803.14
  5. Step 5: Solve for x
    x = 27,695,803.14/5,912.54
  6. Step 6: Final answer
    x = 4,684.25

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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.