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Finding the Fourth Proportional to 4,147.92, 5,723.48 and 2,576

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Solution

The fourth proportional to 4,147.92, 5,723.48 and 2,576 is: 3,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.92 : 5,723.48 = 2,576 : x
  2. Step 2: Convert to fraction form
    4,147.92/5,723.48 = 2,576/x
  3. Step 3: Cross multiply
    4,147.92x = 5,723.48 × 2,576
  4. Step 4: Simplify right side
    4,147.92x = 14,743,684.48
  5. Step 5: Solve for x
    x = 14,743,684.48/4,147.92
  6. Step 6: Final answer
    x = 3,554.48

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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.