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Finding the Fourth Proportional to 3,842.51, 5,754.54 and 2,194.06

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Solution

The fourth proportional to 3,842.51, 5,754.54 and 2,194.06 is: 3,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.51 : 5,754.54 = 2,194.06 : x
  2. Step 2: Convert to fraction form
    3,842.51/5,754.54 = 2,194.06/x
  3. Step 3: Cross multiply
    3,842.51x = 5,754.54 × 2,194.06
  4. Step 4: Simplify right side
    3,842.51x = 12,625,826.85
  5. Step 5: Solve for x
    x = 12,625,826.85/3,842.51
  6. Step 6: Final answer
    x = 3,285.83

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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.