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Finding the Fourth Proportional to 3,762.67, 5,644.71 and 1,682.76

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Solution

The fourth proportional to 3,762.67, 5,644.71 and 1,682.76 is: 2,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.67 : 5,644.71 = 1,682.76 : x
  2. Step 2: Convert to fraction form
    3,762.67/5,644.71 = 1,682.76/x
  3. Step 3: Cross multiply
    3,762.67x = 5,644.71 × 1,682.76
  4. Step 4: Simplify right side
    3,762.67x = 9,498,692.20
  5. Step 5: Solve for x
    x = 9,498,692.20/3,762.67
  6. Step 6: Final answer
    x = 2,524.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.