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Finding the Fourth Proportional to 6,380.39, 8,804.94 and 3,586.43

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Solution

The fourth proportional to 6,380.39, 8,804.94 and 3,586.43 is: 4,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.39 : 8,804.94 = 3,586.43 : x
  2. Step 2: Convert to fraction form
    6,380.39/8,804.94 = 3,586.43/x
  3. Step 3: Cross multiply
    6,380.39x = 8,804.94 × 3,586.43
  4. Step 4: Simplify right side
    6,380.39x = 31,578,300.96
  5. Step 5: Solve for x
    x = 31,578,300.96/6,380.39
  6. Step 6: Final answer
    x = 4,949.27

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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.