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Finding the Fourth Proportional to 4,462.21, 6,692.01 and 1,686.88

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Solution

The fourth proportional to 4,462.21, 6,692.01 and 1,686.88 is: 2,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.21 : 6,692.01 = 1,686.88 : x
  2. Step 2: Convert to fraction form
    4,462.21/6,692.01 = 1,686.88/x
  3. Step 3: Cross multiply
    4,462.21x = 6,692.01 × 1,686.88
  4. Step 4: Simplify right side
    4,462.21x = 11,288,617.83
  5. Step 5: Solve for x
    x = 11,288,617.83/4,462.21
  6. Step 6: Final answer
    x = 2,529.83

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