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Finding the Fourth Proportional to 4,546.67, 6,274.69 and 2,844.90

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Solution

The fourth proportional to 4,546.67, 6,274.69 and 2,844.90 is: 3,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.67 : 6,274.69 = 2,844.90 : x
  2. Step 2: Convert to fraction form
    4,546.67/6,274.69 = 2,844.90/x
  3. Step 3: Cross multiply
    4,546.67x = 6,274.69 × 2,844.90
  4. Step 4: Simplify right side
    4,546.67x = 17,850,858.47
  5. Step 5: Solve for x
    x = 17,850,858.47/4,546.67
  6. Step 6: Final answer
    x = 3,926.14

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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.