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Finding the Fourth Proportional to 5,574.24, 7,692.42 and 3,056.34

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Solution

The fourth proportional to 5,574.24, 7,692.42 and 3,056.34 is: 4,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.24 : 7,692.42 = 3,056.34 : x
  2. Step 2: Convert to fraction form
    5,574.24/7,692.42 = 3,056.34/x
  3. Step 3: Cross multiply
    5,574.24x = 7,692.42 × 3,056.34
  4. Step 4: Simplify right side
    5,574.24x = 23,510,650.94
  5. Step 5: Solve for x
    x = 23,510,650.94/5,574.24
  6. Step 6: Final answer
    x = 4,217.73

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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.