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Finding the Fourth Proportional to 5,454.54, 8,182.26 and 1,945.32

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Solution

The fourth proportional to 5,454.54, 8,182.26 and 1,945.32 is: 2,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.54 : 8,182.26 = 1,945.32 : x
  2. Step 2: Convert to fraction form
    5,454.54/8,182.26 = 1,945.32/x
  3. Step 3: Cross multiply
    5,454.54x = 8,182.26 × 1,945.32
  4. Step 4: Simplify right side
    5,454.54x = 15,917,114.02
  5. Step 5: Solve for x
    x = 15,917,114.02/5,454.54
  6. Step 6: Final answer
    x = 2,918.14

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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.