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Finding the Fourth Proportional to 4,198.48, 6,297.74 and 1,858

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Solution

The fourth proportional to 4,198.48, 6,297.74 and 1,858 is: 2,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.48 : 6,297.74 = 1,858 : x
  2. Step 2: Convert to fraction form
    4,198.48/6,297.74 = 1,858/x
  3. Step 3: Cross multiply
    4,198.48x = 6,297.74 × 1,858
  4. Step 4: Simplify right side
    4,198.48x = 11,701,200.92
  5. Step 5: Solve for x
    x = 11,701,200.92/4,198.48
  6. Step 6: Final answer
    x = 2,787.01

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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.