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Finding the Fourth Proportional to 6,137.16, 8,467.80 and 3,619.07

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Solution

The fourth proportional to 6,137.16, 8,467.80 and 3,619.07 is: 4,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.16 : 8,467.80 = 3,619.07 : x
  2. Step 2: Convert to fraction form
    6,137.16/8,467.80 = 3,619.07/x
  3. Step 3: Cross multiply
    6,137.16x = 8,467.80 × 3,619.07
  4. Step 4: Simplify right side
    6,137.16x = 30,645,560.95
  5. Step 5: Solve for x
    x = 30,645,560.95/6,137.16
  6. Step 6: Final answer
    x = 4,993.44

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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.