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Finding the Fourth Proportional to 3,892.74, 5,836.23 and 1,294.98

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Solution

The fourth proportional to 3,892.74, 5,836.23 and 1,294.98 is: 1,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.74 : 5,836.23 = 1,294.98 : x
  2. Step 2: Convert to fraction form
    3,892.74/5,836.23 = 1,294.98/x
  3. Step 3: Cross multiply
    3,892.74x = 5,836.23 × 1,294.98
  4. Step 4: Simplify right side
    3,892.74x = 7,557,801.13
  5. Step 5: Solve for x
    x = 7,557,801.13/3,892.74
  6. Step 6: Final answer
    x = 1,941.51

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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.