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Finding the Fourth Proportional to 5,454.59, 8,182.31 and 1,945.35

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Solution

The fourth proportional to 5,454.59, 8,182.31 and 1,945.35 is: 2,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.59 : 8,182.31 = 1,945.35 : x
  2. Step 2: Convert to fraction form
    5,454.59/8,182.31 = 1,945.35/x
  3. Step 3: Cross multiply
    5,454.59x = 8,182.31 × 1,945.35
  4. Step 4: Simplify right side
    5,454.59x = 15,917,447.03
  5. Step 5: Solve for x
    x = 15,917,447.03/5,454.59
  6. Step 6: Final answer
    x = 2,918.18

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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.