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Finding the Fourth Proportional to 6,181.94, 8,528.37 and 3,696.50

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Solution

The fourth proportional to 6,181.94, 8,528.37 and 3,696.50 is: 5,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.94 : 8,528.37 = 3,696.50 : x
  2. Step 2: Convert to fraction form
    6,181.94/8,528.37 = 3,696.50/x
  3. Step 3: Cross multiply
    6,181.94x = 8,528.37 × 3,696.50
  4. Step 4: Simplify right side
    6,181.94x = 31,525,119.71
  5. Step 5: Solve for x
    x = 31,525,119.71/6,181.94
  6. Step 6: Final answer
    x = 5,099.55

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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.