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Finding the Fourth Proportional to 3,461.21, 5,191.83 and 864.15

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Solution

The fourth proportional to 3,461.21, 5,191.83 and 864.15 is: 1,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.21 : 5,191.83 = 864.15 : x
  2. Step 2: Convert to fraction form
    3,461.21/5,191.83 = 864.15/x
  3. Step 3: Cross multiply
    3,461.21x = 5,191.83 × 864.15
  4. Step 4: Simplify right side
    3,461.21x = 4,486,493.94
  5. Step 5: Solve for x
    x = 4,486,493.94/3,461.21
  6. Step 6: Final answer
    x = 1,296.22

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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.