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Finding the Fourth Proportional to 4,198.51, 6,299.12 and 2,740.51

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Solution

The fourth proportional to 4,198.51, 6,299.12 and 2,740.51 is: 4,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.51 : 6,299.12 = 2,740.51 : x
  2. Step 2: Convert to fraction form
    4,198.51/6,299.12 = 2,740.51/x
  3. Step 3: Cross multiply
    4,198.51x = 6,299.12 × 2,740.51
  4. Step 4: Simplify right side
    4,198.51x = 17,262,801.35
  5. Step 5: Solve for x
    x = 17,262,801.35/4,198.51
  6. Step 6: Final answer
    x = 4,111.65

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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.