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Finding the Fourth Proportional to 3,461.81, 5,205.20 and 3,191.20

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Solution

The fourth proportional to 3,461.81, 5,205.20 and 3,191.20 is: 4,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.81 : 5,205.20 = 3,191.20 : x
  2. Step 2: Convert to fraction form
    3,461.81/5,205.20 = 3,191.20/x
  3. Step 3: Cross multiply
    3,461.81x = 5,205.20 × 3,191.20
  4. Step 4: Simplify right side
    3,461.81x = 16,610,805.27
  5. Step 5: Solve for x
    x = 16,610,805.27/3,461.81
  6. Step 6: Final answer
    x = 4,798.31

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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.