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Finding the Fourth Proportional to 3,696.21, 5,528.12 and 3,216.69

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Solution

The fourth proportional to 3,696.21, 5,528.12 and 3,216.69 is: 4,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.21 : 5,528.12 = 3,216.69 : x
  2. Step 2: Convert to fraction form
    3,696.21/5,528.12 = 3,216.69/x
  3. Step 3: Cross multiply
    3,696.21x = 5,528.12 × 3,216.69
  4. Step 4: Simplify right side
    3,696.21x = 17,782,232.24
  5. Step 5: Solve for x
    x = 17,782,232.24/3,696.21
  6. Step 6: Final answer
    x = 4,810.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.