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Finding the Fourth Proportional to 4,657.83, 6,427.09 and 2,769.37

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Solution

The fourth proportional to 4,657.83, 6,427.09 and 2,769.37 is: 3,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.83 : 6,427.09 = 2,769.37 : x
  2. Step 2: Convert to fraction form
    4,657.83/6,427.09 = 2,769.37/x
  3. Step 3: Cross multiply
    4,657.83x = 6,427.09 × 2,769.37
  4. Step 4: Simplify right side
    4,657.83x = 17,798,990.23
  5. Step 5: Solve for x
    x = 17,798,990.23/4,657.83
  6. Step 6: Final answer
    x = 3,821.31

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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.