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Finding the Fourth Proportional to 3,297.44, 4,546.80 and 2,458.64

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Solution

The fourth proportional to 3,297.44, 4,546.80 and 2,458.64 is: 3,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.44 : 4,546.80 = 2,458.64 : x
  2. Step 2: Convert to fraction form
    3,297.44/4,546.80 = 2,458.64/x
  3. Step 3: Cross multiply
    3,297.44x = 4,546.80 × 2,458.64
  4. Step 4: Simplify right side
    3,297.44x = 11,178,944.35
  5. Step 5: Solve for x
    x = 11,178,944.35/3,297.44
  6. Step 6: Final answer
    x = 3,390.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.