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Finding the Fourth Proportional to 5,972.66, 8,959.02 and 2,076.14

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Solution

The fourth proportional to 5,972.66, 8,959.02 and 2,076.14 is: 3,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.66 : 8,959.02 = 2,076.14 : x
  2. Step 2: Convert to fraction form
    5,972.66/8,959.02 = 2,076.14/x
  3. Step 3: Cross multiply
    5,972.66x = 8,959.02 × 2,076.14
  4. Step 4: Simplify right side
    5,972.66x = 18,600,179.78
  5. Step 5: Solve for x
    x = 18,600,179.78/5,972.66
  6. Step 6: Final answer
    x = 3,114.22

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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.