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Finding the Fourth Proportional to 3,642.17, 5,454.27 and 2,078.30

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Solution

The fourth proportional to 3,642.17, 5,454.27 and 2,078.30 is: 3,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.17 : 5,454.27 = 2,078.30 : x
  2. Step 2: Convert to fraction form
    3,642.17/5,454.27 = 2,078.30/x
  3. Step 3: Cross multiply
    3,642.17x = 5,454.27 × 2,078.30
  4. Step 4: Simplify right side
    3,642.17x = 11,335,622.98
  5. Step 5: Solve for x
    x = 11,335,622.98/3,642.17
  6. Step 6: Final answer
    x = 3,112.33

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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.