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Finding the Fourth Proportional to 3,394.88, 5,092.40 and 1,836.08

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Solution

The fourth proportional to 3,394.88, 5,092.40 and 1,836.08 is: 2,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.88 : 5,092.40 = 1,836.08 : x
  2. Step 2: Convert to fraction form
    3,394.88/5,092.40 = 1,836.08/x
  3. Step 3: Cross multiply
    3,394.88x = 5,092.40 × 1,836.08
  4. Step 4: Simplify right side
    3,394.88x = 9,350,053.79
  5. Step 5: Solve for x
    x = 9,350,053.79/3,394.88
  6. Step 6: Final answer
    x = 2,754.16

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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.