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Finding the Fourth Proportional to 5,971.94, 8,958 and 2,076.48

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Solution

The fourth proportional to 5,971.94, 8,958 and 2,076.48 is: 3,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.94 : 8,958 = 2,076.48 : x
  2. Step 2: Convert to fraction form
    5,971.94/8,958 = 2,076.48/x
  3. Step 3: Cross multiply
    5,971.94x = 8,958 × 2,076.48
  4. Step 4: Simplify right side
    5,971.94x = 18,601,107.84
  5. Step 5: Solve for x
    x = 18,601,107.84/5,971.94
  6. Step 6: Final answer
    x = 3,114.75

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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.