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Finding the Fourth Proportional to 4,732.99, 7,100.52 and 1,446.34

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Solution

The fourth proportional to 4,732.99, 7,100.52 and 1,446.34 is: 2,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.99 : 7,100.52 = 1,446.34 : x
  2. Step 2: Convert to fraction form
    4,732.99/7,100.52 = 1,446.34/x
  3. Step 3: Cross multiply
    4,732.99x = 7,100.52 × 1,446.34
  4. Step 4: Simplify right side
    4,732.99x = 10,269,766.10
  5. Step 5: Solve for x
    x = 10,269,766.10/4,732.99
  6. Step 6: Final answer
    x = 2,169.83

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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.