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Finding the Fourth Proportional to 6,185.94, 8,532.32 and 3,826.68

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Solution

The fourth proportional to 6,185.94, 8,532.32 and 3,826.68 is: 5,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.94 : 8,532.32 = 3,826.68 : x
  2. Step 2: Convert to fraction form
    6,185.94/8,532.32 = 3,826.68/x
  3. Step 3: Cross multiply
    6,185.94x = 8,532.32 × 3,826.68
  4. Step 4: Simplify right side
    6,185.94x = 32,650,439.16
  5. Step 5: Solve for x
    x = 32,650,439.16/6,185.94
  6. Step 6: Final answer
    x = 5,278.17

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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.