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Finding the Fourth Proportional to 4,657.25, 6,992.78 and 1,889.33

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Solution

The fourth proportional to 4,657.25, 6,992.78 and 1,889.33 is: 2,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.25 : 6,992.78 = 1,889.33 : x
  2. Step 2: Convert to fraction form
    4,657.25/6,992.78 = 1,889.33/x
  3. Step 3: Cross multiply
    4,657.25x = 6,992.78 × 1,889.33
  4. Step 4: Simplify right side
    4,657.25x = 13,211,624.63
  5. Step 5: Solve for x
    x = 13,211,624.63/4,657.25
  6. Step 6: Final answer
    x = 2,836.79

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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.