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Finding the Fourth Proportional to 4,570.75, 6,858.86 and 4,198.96

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Solution

The fourth proportional to 4,570.75, 6,858.86 and 4,198.96 is: 6,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.75 : 6,858.86 = 4,198.96 : x
  2. Step 2: Convert to fraction form
    4,570.75/6,858.86 = 4,198.96/x
  3. Step 3: Cross multiply
    4,570.75x = 6,858.86 × 4,198.96
  4. Step 4: Simplify right side
    4,570.75x = 28,800,040.64
  5. Step 5: Solve for x
    x = 28,800,040.64/4,570.75
  6. Step 6: Final answer
    x = 6,300.95

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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.