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Finding the Fourth Proportional to 3,777.85, 5,656.13 and 2,850.46

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Solution

The fourth proportional to 3,777.85, 5,656.13 and 2,850.46 is: 4,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.85 : 5,656.13 = 2,850.46 : x
  2. Step 2: Convert to fraction form
    3,777.85/5,656.13 = 2,850.46/x
  3. Step 3: Cross multiply
    3,777.85x = 5,656.13 × 2,850.46
  4. Step 4: Simplify right side
    3,777.85x = 16,122,558.07
  5. Step 5: Solve for x
    x = 16,122,558.07/3,777.85
  6. Step 6: Final answer
    x = 4,267.65

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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.