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Finding the Fourth Proportional to 5,837.44, 8,757.08 and 1,940.94

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Solution

The fourth proportional to 5,837.44, 8,757.08 and 1,940.94 is: 2,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.44 : 8,757.08 = 1,940.94 : x
  2. Step 2: Convert to fraction form
    5,837.44/8,757.08 = 1,940.94/x
  3. Step 3: Cross multiply
    5,837.44x = 8,757.08 × 1,940.94
  4. Step 4: Simplify right side
    5,837.44x = 16,996,966.86
  5. Step 5: Solve for x
    x = 16,996,966.86/5,837.44
  6. Step 6: Final answer
    x = 2,911.72

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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.