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Finding the Fourth Proportional to 4,198.68, 6,298.93 and 1,387.63

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Solution

The fourth proportional to 4,198.68, 6,298.93 and 1,387.63 is: 2,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.68 : 6,298.93 = 1,387.63 : x
  2. Step 2: Convert to fraction form
    4,198.68/6,298.93 = 1,387.63/x
  3. Step 3: Cross multiply
    4,198.68x = 6,298.93 × 1,387.63
  4. Step 4: Simplify right side
    4,198.68x = 8,740,584.24
  5. Step 5: Solve for x
    x = 8,740,584.24/4,198.68
  6. Step 6: Final answer
    x = 2,081.75

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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.