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Finding the Fourth Proportional to 4,758.40, 7,105.21 and 4,198.44

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Solution

The fourth proportional to 4,758.40, 7,105.21 and 4,198.44 is: 6,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.40 : 7,105.21 = 4,198.44 : x
  2. Step 2: Convert to fraction form
    4,758.40/7,105.21 = 4,198.44/x
  3. Step 3: Cross multiply
    4,758.40x = 7,105.21 × 4,198.44
  4. Step 4: Simplify right side
    4,758.40x = 29,830,797.87
  5. Step 5: Solve for x
    x = 29,830,797.87/4,758.40
  6. Step 6: Final answer
    x = 6,269.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.