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Finding the Fourth Proportional to 3,418.36, 5,128.96 and 1,638.52

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Solution

The fourth proportional to 3,418.36, 5,128.96 and 1,638.52 is: 2,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.36 : 5,128.96 = 1,638.52 : x
  2. Step 2: Convert to fraction form
    3,418.36/5,128.96 = 1,638.52/x
  3. Step 3: Cross multiply
    3,418.36x = 5,128.96 × 1,638.52
  4. Step 4: Simplify right side
    3,418.36x = 8,403,903.54
  5. Step 5: Solve for x
    x = 8,403,903.54/3,418.36
  6. Step 6: Final answer
    x = 2,458.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.