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Finding the Fourth Proportional to 4,856.49, 6,692.63 and 3,456.81

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Solution

The fourth proportional to 4,856.49, 6,692.63 and 3,456.81 is: 4,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.49 : 6,692.63 = 3,456.81 : x
  2. Step 2: Convert to fraction form
    4,856.49/6,692.63 = 3,456.81/x
  3. Step 3: Cross multiply
    4,856.49x = 6,692.63 × 3,456.81
  4. Step 4: Simplify right side
    4,856.49x = 23,135,133.03
  5. Step 5: Solve for x
    x = 23,135,133.03/4,856.49
  6. Step 6: Final answer
    x = 4,763.76

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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.