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Finding the Fourth Proportional to 5,576.57, 7,692.94 and 4,692.05

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Solution

The fourth proportional to 5,576.57, 7,692.94 and 4,692.05 is: 6,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.57 : 7,692.94 = 4,692.05 : x
  2. Step 2: Convert to fraction form
    5,576.57/7,692.94 = 4,692.05/x
  3. Step 3: Cross multiply
    5,576.57x = 7,692.94 × 4,692.05
  4. Step 4: Simplify right side
    5,576.57x = 36,095,659.13
  5. Step 5: Solve for x
    x = 36,095,659.13/5,576.57
  6. Step 6: Final answer
    x = 6,472.73

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1.5x scale

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.