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Finding the Fourth Proportional to 3,546.94, 4,894.86 and 1,975

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Solution

The fourth proportional to 3,546.94, 4,894.86 and 1,975 is: 2,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.94 : 4,894.86 = 1,975 : x
  2. Step 2: Convert to fraction form
    3,546.94/4,894.86 = 1,975/x
  3. Step 3: Cross multiply
    3,546.94x = 4,894.86 × 1,975
  4. Step 4: Simplify right side
    3,546.94x = 9,667,348.50
  5. Step 5: Solve for x
    x = 9,667,348.50/3,546.94
  6. Step 6: Final answer
    x = 2,725.55

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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.