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Finding the Fourth Proportional to 4,292.73, 6,437.04 and 1,826.22

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Solution

The fourth proportional to 4,292.73, 6,437.04 and 1,826.22 is: 2,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.73 : 6,437.04 = 1,826.22 : x
  2. Step 2: Convert to fraction form
    4,292.73/6,437.04 = 1,826.22/x
  3. Step 3: Cross multiply
    4,292.73x = 6,437.04 × 1,826.22
  4. Step 4: Simplify right side
    4,292.73x = 11,755,451.19
  5. Step 5: Solve for x
    x = 11,755,451.19/4,292.73
  6. Step 6: Final answer
    x = 2,738.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.