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Finding the Fourth Proportional to 4,797.69, 7,197.62 and 1,876.83

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Solution

The fourth proportional to 4,797.69, 7,197.62 and 1,876.83 is: 2,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.69 : 7,197.62 = 1,876.83 : x
  2. Step 2: Convert to fraction form
    4,797.69/7,197.62 = 1,876.83/x
  3. Step 3: Cross multiply
    4,797.69x = 7,197.62 × 1,876.83
  4. Step 4: Simplify right side
    4,797.69x = 13,508,709.14
  5. Step 5: Solve for x
    x = 13,508,709.14/4,797.69
  6. Step 6: Final answer
    x = 2,815.67

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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.