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Finding the Fourth Proportional to 4,892.46, 7,338.69 and 1,772.88

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Solution

The fourth proportional to 4,892.46, 7,338.69 and 1,772.88 is: 2,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.46 : 7,338.69 = 1,772.88 : x
  2. Step 2: Convert to fraction form
    4,892.46/7,338.69 = 1,772.88/x
  3. Step 3: Cross multiply
    4,892.46x = 7,338.69 × 1,772.88
  4. Step 4: Simplify right side
    4,892.46x = 13,010,616.73
  5. Step 5: Solve for x
    x = 13,010,616.73/4,892.46
  6. Step 6: Final answer
    x = 2,659.32

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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.