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Finding the Fourth Proportional to 4,449.74, 6,673.41 and 1,674.64

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Solution

The fourth proportional to 4,449.74, 6,673.41 and 1,674.64 is: 2,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.74 : 6,673.41 = 1,674.64 : x
  2. Step 2: Convert to fraction form
    4,449.74/6,673.41 = 1,674.64/x
  3. Step 3: Cross multiply
    4,449.74x = 6,673.41 × 1,674.64
  4. Step 4: Simplify right side
    4,449.74x = 11,175,559.32
  5. Step 5: Solve for x
    x = 11,175,559.32/4,449.74
  6. Step 6: Final answer
    x = 2,511.51

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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.