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Finding the Fourth Proportional to 4,963.62, 7,448.40 and 1,843.10

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Solution

The fourth proportional to 4,963.62, 7,448.40 and 1,843.10 is: 2,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.62 : 7,448.40 = 1,843.10 : x
  2. Step 2: Convert to fraction form
    4,963.62/7,448.40 = 1,843.10/x
  3. Step 3: Cross multiply
    4,963.62x = 7,448.40 × 1,843.10
  4. Step 4: Simplify right side
    4,963.62x = 13,728,146.04
  5. Step 5: Solve for x
    x = 13,728,146.04/4,963.62
  6. Step 6: Final answer
    x = 2,765.75

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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.