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Finding the Fourth Proportional to 3,696.84, 5,096.52 and 2,576.16

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Solution

The fourth proportional to 3,696.84, 5,096.52 and 2,576.16 is: 3,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.84 : 5,096.52 = 2,576.16 : x
  2. Step 2: Convert to fraction form
    3,696.84/5,096.52 = 2,576.16/x
  3. Step 3: Cross multiply
    3,696.84x = 5,096.52 × 2,576.16
  4. Step 4: Simplify right side
    3,696.84x = 13,129,450.96
  5. Step 5: Solve for x
    x = 13,129,450.96/3,696.84
  6. Step 6: Final answer
    x = 3,551.53

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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.