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Finding the Fourth Proportional to 3,696.88, 5,541.20 and 1,824.08

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Solution

The fourth proportional to 3,696.88, 5,541.20 and 1,824.08 is: 2,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.88 : 5,541.20 = 1,824.08 : x
  2. Step 2: Convert to fraction form
    3,696.88/5,541.20 = 1,824.08/x
  3. Step 3: Cross multiply
    3,696.88x = 5,541.20 × 1,824.08
  4. Step 4: Simplify right side
    3,696.88x = 10,107,592.10
  5. Step 5: Solve for x
    x = 10,107,592.10/3,696.88
  6. Step 6: Final answer
    x = 2,734.09

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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.