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Finding the Fourth Proportional to 3,236.77, 4,858.80 and 1,290.34

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Solution

The fourth proportional to 3,236.77, 4,858.80 and 1,290.34 is: 1,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.77 : 4,858.80 = 1,290.34 : x
  2. Step 2: Convert to fraction form
    3,236.77/4,858.80 = 1,290.34/x
  3. Step 3: Cross multiply
    3,236.77x = 4,858.80 × 1,290.34
  4. Step 4: Simplify right side
    3,236.77x = 6,269,473.25
  5. Step 5: Solve for x
    x = 6,269,473.25/3,236.77
  6. Step 6: Final answer
    x = 1,936.96

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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.