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Finding the Fourth Proportional to 5,106.87, 7,661.84 and 3,028.77

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Solution

The fourth proportional to 5,106.87, 7,661.84 and 3,028.77 is: 4,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.87 : 7,661.84 = 3,028.77 : x
  2. Step 2: Convert to fraction form
    5,106.87/7,661.84 = 3,028.77/x
  3. Step 3: Cross multiply
    5,106.87x = 7,661.84 × 3,028.77
  4. Step 4: Simplify right side
    5,106.87x = 23,205,935.99
  5. Step 5: Solve for x
    x = 23,205,935.99/5,106.87
  6. Step 6: Final answer
    x = 4,544.06

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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.