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Finding the Fourth Proportional to 3,461.90, 5,193.02 and 1,121.73

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Solution

The fourth proportional to 3,461.90, 5,193.02 and 1,121.73 is: 1,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.90 : 5,193.02 = 1,121.73 : x
  2. Step 2: Convert to fraction form
    3,461.90/5,193.02 = 1,121.73/x
  3. Step 3: Cross multiply
    3,461.90x = 5,193.02 × 1,121.73
  4. Step 4: Simplify right side
    3,461.90x = 5,825,166.32
  5. Step 5: Solve for x
    x = 5,825,166.32/3,461.90
  6. Step 6: Final answer
    x = 1,682.65

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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.