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Finding the Fourth Proportional to 3,619.91, 4,995.62 and 2,048

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Solution

The fourth proportional to 3,619.91, 4,995.62 and 2,048 is: 2,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.91 : 4,995.62 = 2,048 : x
  2. Step 2: Convert to fraction form
    3,619.91/4,995.62 = 2,048/x
  3. Step 3: Cross multiply
    3,619.91x = 4,995.62 × 2,048
  4. Step 4: Simplify right side
    3,619.91x = 10,231,029.76
  5. Step 5: Solve for x
    x = 10,231,029.76/3,619.91
  6. Step 6: Final answer
    x = 2,826.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.