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Finding the Fourth Proportional to 5,574.39, 7,692.24 and 3,216.48

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Solution

The fourth proportional to 5,574.39, 7,692.24 and 3,216.48 is: 4,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.39 : 7,692.24 = 3,216.48 : x
  2. Step 2: Convert to fraction form
    5,574.39/7,692.24 = 3,216.48/x
  3. Step 3: Cross multiply
    5,574.39x = 7,692.24 × 3,216.48
  4. Step 4: Simplify right side
    5,574.39x = 24,741,936.12
  5. Step 5: Solve for x
    x = 24,741,936.12/5,574.39
  6. Step 6: Final answer
    x = 4,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.