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Finding the Fourth Proportional to 3,589.91, 4,955.43 and 2,098.32

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Solution

The fourth proportional to 3,589.91, 4,955.43 and 2,098.32 is: 2,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.91 : 4,955.43 = 2,098.32 : x
  2. Step 2: Convert to fraction form
    3,589.91/4,955.43 = 2,098.32/x
  3. Step 3: Cross multiply
    3,589.91x = 4,955.43 × 2,098.32
  4. Step 4: Simplify right side
    3,589.91x = 10,398,067.16
  5. Step 5: Solve for x
    x = 10,398,067.16/3,589.91
  6. Step 6: Final answer
    x = 2,896.47

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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.