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Finding the Fourth Proportional to 5,972.44, 8,958.75 and 2,076.98

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Solution

The fourth proportional to 5,972.44, 8,958.75 and 2,076.98 is: 3,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.44 : 8,958.75 = 2,076.98 : x
  2. Step 2: Convert to fraction form
    5,972.44/8,958.75 = 2,076.98/x
  3. Step 3: Cross multiply
    5,972.44x = 8,958.75 × 2,076.98
  4. Step 4: Simplify right side
    5,972.44x = 18,607,144.58
  5. Step 5: Solve for x
    x = 18,607,144.58/5,972.44
  6. Step 6: Final answer
    x = 3,115.50

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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.