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Finding the Fourth Proportional to 4,198.36, 6,298.22 and 1,424.74

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Solution

The fourth proportional to 4,198.36, 6,298.22 and 1,424.74 is: 2,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.36 : 6,298.22 = 1,424.74 : x
  2. Step 2: Convert to fraction form
    4,198.36/6,298.22 = 1,424.74/x
  3. Step 3: Cross multiply
    4,198.36x = 6,298.22 × 1,424.74
  4. Step 4: Simplify right side
    4,198.36x = 8,973,319.58
  5. Step 5: Solve for x
    x = 8,973,319.58/4,198.36
  6. Step 6: Final answer
    x = 2,137.34

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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.