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Finding the Fourth Proportional to 4,983.12, 7,473.60 and 1,863

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Solution

The fourth proportional to 4,983.12, 7,473.60 and 1,863 is: 2,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.12 : 7,473.60 = 1,863 : x
  2. Step 2: Convert to fraction form
    4,983.12/7,473.60 = 1,863/x
  3. Step 3: Cross multiply
    4,983.12x = 7,473.60 × 1,863
  4. Step 4: Simplify right side
    4,983.12x = 13,923,316.80
  5. Step 5: Solve for x
    x = 13,923,316.80/4,983.12
  6. Step 6: Final answer
    x = 2,794.10

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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.