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Finding the Fourth Proportional to 5,183.40, 7,775.11 and 1,894.70

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Solution

The fourth proportional to 5,183.40, 7,775.11 and 1,894.70 is: 2,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.40 : 7,775.11 = 1,894.70 : x
  2. Step 2: Convert to fraction form
    5,183.40/7,775.11 = 1,894.70/x
  3. Step 3: Cross multiply
    5,183.40x = 7,775.11 × 1,894.70
  4. Step 4: Simplify right side
    5,183.40x = 14,731,522.72
  5. Step 5: Solve for x
    x = 14,731,522.72/5,183.40
  6. Step 6: Final answer
    x = 2,842.06

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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.