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Finding the Fourth Proportional to 3,771.66, 5,652.32 and 2,846.46

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Solution

The fourth proportional to 3,771.66, 5,652.32 and 2,846.46 is: 4,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.66 : 5,652.32 = 2,846.46 : x
  2. Step 2: Convert to fraction form
    3,771.66/5,652.32 = 2,846.46/x
  3. Step 3: Cross multiply
    3,771.66x = 5,652.32 × 2,846.46
  4. Step 4: Simplify right side
    3,771.66x = 16,089,088.55
  5. Step 5: Solve for x
    x = 16,089,088.55/3,771.66
  6. Step 6: Final answer
    x = 4,265.78

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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.