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Finding the Fourth Proportional to 3,905.64, 5,860.26 and 1,959.24

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Solution

The fourth proportional to 3,905.64, 5,860.26 and 1,959.24 is: 2,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.64 : 5,860.26 = 1,959.24 : x
  2. Step 2: Convert to fraction form
    3,905.64/5,860.26 = 1,959.24/x
  3. Step 3: Cross multiply
    3,905.64x = 5,860.26 × 1,959.24
  4. Step 4: Simplify right side
    3,905.64x = 11,481,655.80
  5. Step 5: Solve for x
    x = 11,481,655.80/3,905.64
  6. Step 6: Final answer
    x = 2,939.76

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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.