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Finding the Fourth Proportional to 4,692.42, 6,478.11 and 3,202.56

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Solution

The fourth proportional to 4,692.42, 6,478.11 and 3,202.56 is: 4,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.42 : 6,478.11 = 3,202.56 : x
  2. Step 2: Convert to fraction form
    4,692.42/6,478.11 = 3,202.56/x
  3. Step 3: Cross multiply
    4,692.42x = 6,478.11 × 3,202.56
  4. Step 4: Simplify right side
    4,692.42x = 20,746,535.96
  5. Step 5: Solve for x
    x = 20,746,535.96/4,692.42
  6. Step 6: Final answer
    x = 4,421.29

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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.