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Finding the Fourth Proportional to 3,986.31, 5,498.31 and 3,454.25

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Solution

The fourth proportional to 3,986.31, 5,498.31 and 3,454.25 is: 4,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.31 : 5,498.31 = 3,454.25 : x
  2. Step 2: Convert to fraction form
    3,986.31/5,498.31 = 3,454.25/x
  3. Step 3: Cross multiply
    3,986.31x = 5,498.31 × 3,454.25
  4. Step 4: Simplify right side
    3,986.31x = 18,992,509.10
  5. Step 5: Solve for x
    x = 18,992,509.10/3,986.31
  6. Step 6: Final answer
    x = 4,764.44

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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.