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Finding the Fourth Proportional to 4,570.25, 6,858.10 and 4,198.46

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Solution

The fourth proportional to 4,570.25, 6,858.10 and 4,198.46 is: 6,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.25 : 6,858.10 = 4,198.46 : x
  2. Step 2: Convert to fraction form
    4,570.25/6,858.10 = 4,198.46/x
  3. Step 3: Cross multiply
    4,570.25x = 6,858.10 × 4,198.46
  4. Step 4: Simplify right side
    4,570.25x = 28,793,451.88
  5. Step 5: Solve for x
    x = 28,793,451.88/4,570.25
  6. Step 6: Final answer
    x = 6,300.20

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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.