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Finding the Fourth Proportional to 4,843.60, 7,261.80 and 2,654.80

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Solution

The fourth proportional to 4,843.60, 7,261.80 and 2,654.80 is: 3,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.60 : 7,261.80 = 2,654.80 : x
  2. Step 2: Convert to fraction form
    4,843.60/7,261.80 = 2,654.80/x
  3. Step 3: Cross multiply
    4,843.60x = 7,261.80 × 2,654.80
  4. Step 4: Simplify right side
    4,843.60x = 19,278,626.64
  5. Step 5: Solve for x
    x = 19,278,626.64/4,843.60
  6. Step 6: Final answer
    x = 3,980.23

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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.