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Finding the Fourth Proportional to 4,570.50, 6,858.48 and 4,198.71

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Solution

The fourth proportional to 4,570.50, 6,858.48 and 4,198.71 is: 6,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.50 : 6,858.48 = 4,198.71 : x
  2. Step 2: Convert to fraction form
    4,570.50/6,858.48 = 4,198.71/x
  3. Step 3: Cross multiply
    4,570.50x = 6,858.48 × 4,198.71
  4. Step 4: Simplify right side
    4,570.50x = 28,796,747.57
  5. Step 5: Solve for x
    x = 28,796,747.57/4,570.50
  6. Step 6: Final answer
    x = 6,300.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.