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Finding the Fourth Proportional to 4,692.96, 6,475.44 and 3,036

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Solution

The fourth proportional to 4,692.96, 6,475.44 and 3,036 is: 4,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.96 : 6,475.44 = 3,036 : x
  2. Step 2: Convert to fraction form
    4,692.96/6,475.44 = 3,036/x
  3. Step 3: Cross multiply
    4,692.96x = 6,475.44 × 3,036
  4. Step 4: Simplify right side
    4,692.96x = 19,659,435.84
  5. Step 5: Solve for x
    x = 19,659,435.84/4,692.96
  6. Step 6: Final answer
    x = 4,189.13

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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.