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Finding the Fourth Proportional to 3,496.16, 4,825.02 and 2,004.56

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Solution

The fourth proportional to 3,496.16, 4,825.02 and 2,004.56 is: 2,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.16 : 4,825.02 = 2,004.56 : x
  2. Step 2: Convert to fraction form
    3,496.16/4,825.02 = 2,004.56/x
  3. Step 3: Cross multiply
    3,496.16x = 4,825.02 × 2,004.56
  4. Step 4: Simplify right side
    3,496.16x = 9,672,042.09
  5. Step 5: Solve for x
    x = 9,672,042.09/3,496.16
  6. Step 6: Final answer
    x = 2,766.48

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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.