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Finding the Fourth Proportional to 3,777.84, 5,675.67 and 2,221.83

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Solution

The fourth proportional to 3,777.84, 5,675.67 and 2,221.83 is: 3,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.84 : 5,675.67 = 2,221.83 : x
  2. Step 2: Convert to fraction form
    3,777.84/5,675.67 = 2,221.83/x
  3. Step 3: Cross multiply
    3,777.84x = 5,675.67 × 2,221.83
  4. Step 4: Simplify right side
    3,777.84x = 12,610,373.88
  5. Step 5: Solve for x
    x = 12,610,373.88/3,777.84
  6. Step 6: Final answer
    x = 3,337.99

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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.