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Finding the Fourth Proportional to 3,364.73, 5,047.28 and 1,284.90

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Solution

The fourth proportional to 3,364.73, 5,047.28 and 1,284.90 is: 1,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.73 : 5,047.28 = 1,284.90 : x
  2. Step 2: Convert to fraction form
    3,364.73/5,047.28 = 1,284.90/x
  3. Step 3: Cross multiply
    3,364.73x = 5,047.28 × 1,284.90
  4. Step 4: Simplify right side
    3,364.73x = 6,485,257.93
  5. Step 5: Solve for x
    x = 6,485,257.93/3,364.73
  6. Step 6: Final answer
    x = 1,927.42

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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.