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Finding the Fourth Proportional to 3,898.79, 5,382.54 and 2,576.33

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Solution

The fourth proportional to 3,898.79, 5,382.54 and 2,576.33 is: 3,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.79 : 5,382.54 = 2,576.33 : x
  2. Step 2: Convert to fraction form
    3,898.79/5,382.54 = 2,576.33/x
  3. Step 3: Cross multiply
    3,898.79x = 5,382.54 × 2,576.33
  4. Step 4: Simplify right side
    3,898.79x = 13,867,172.37
  5. Step 5: Solve for x
    x = 13,867,172.37/3,898.79
  6. Step 6: Final answer
    x = 3,556.79

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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.