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Finding the Fourth Proportional to 4,422.82, 6,636.39 and 1,825.78

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Solution

The fourth proportional to 4,422.82, 6,636.39 and 1,825.78 is: 2,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.82 : 6,636.39 = 1,825.78 : x
  2. Step 2: Convert to fraction form
    4,422.82/6,636.39 = 1,825.78/x
  3. Step 3: Cross multiply
    4,422.82x = 6,636.39 × 1,825.78
  4. Step 4: Simplify right side
    4,422.82x = 12,116,588.13
  5. Step 5: Solve for x
    x = 12,116,588.13/4,422.82
  6. Step 6: Final answer
    x = 2,739.56

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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.