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Finding the Fourth Proportional to 3,696.12, 5,540.10 and 2,052.12

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Solution

The fourth proportional to 3,696.12, 5,540.10 and 2,052.12 is: 3,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.12 : 5,540.10 = 2,052.12 : x
  2. Step 2: Convert to fraction form
    3,696.12/5,540.10 = 2,052.12/x
  3. Step 3: Cross multiply
    3,696.12x = 5,540.10 × 2,052.12
  4. Step 4: Simplify right side
    3,696.12x = 11,368,950.01
  5. Step 5: Solve for x
    x = 11,368,950.01/3,696.12
  6. Step 6: Final answer
    x = 3,075.91

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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.