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Finding the Fourth Proportional to 3,461.96, 4,771.86 and 2,412.20

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Solution

The fourth proportional to 3,461.96, 4,771.86 and 2,412.20 is: 3,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.96 : 4,771.86 = 2,412.20 : x
  2. Step 2: Convert to fraction form
    3,461.96/4,771.86 = 2,412.20/x
  3. Step 3: Cross multiply
    3,461.96x = 4,771.86 × 2,412.20
  4. Step 4: Simplify right side
    3,461.96x = 11,510,680.69
  5. Step 5: Solve for x
    x = 11,510,680.69/3,461.96
  6. Step 6: Final answer
    x = 3,324.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.