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Finding the Fourth Proportional to 3,696.36, 5,103.06 and 2,563.67

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Solution

The fourth proportional to 3,696.36, 5,103.06 and 2,563.67 is: 3,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.36 : 5,103.06 = 2,563.67 : x
  2. Step 2: Convert to fraction form
    3,696.36/5,103.06 = 2,563.67/x
  3. Step 3: Cross multiply
    3,696.36x = 5,103.06 × 2,563.67
  4. Step 4: Simplify right side
    3,696.36x = 13,082,561.83
  5. Step 5: Solve for x
    x = 13,082,561.83/3,696.36
  6. Step 6: Final answer
    x = 3,539.31

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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.