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Finding the Fourth Proportional to 5,949.77, 8,922.69 and 1,788.98

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Solution

The fourth proportional to 5,949.77, 8,922.69 and 1,788.98 is: 2,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.77 : 8,922.69 = 1,788.98 : x
  2. Step 2: Convert to fraction form
    5,949.77/8,922.69 = 1,788.98/x
  3. Step 3: Cross multiply
    5,949.77x = 8,922.69 × 1,788.98
  4. Step 4: Simplify right side
    5,949.77x = 15,962,469.34
  5. Step 5: Solve for x
    x = 15,962,469.34/5,949.77
  6. Step 6: Final answer
    x = 2,682.87

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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.