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Finding the Fourth Proportional to 4,753.81, 7,131.19 and 1,633.40

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Solution

The fourth proportional to 4,753.81, 7,131.19 and 1,633.40 is: 2,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.81 : 7,131.19 = 1,633.40 : x
  2. Step 2: Convert to fraction form
    4,753.81/7,131.19 = 1,633.40/x
  3. Step 3: Cross multiply
    4,753.81x = 7,131.19 × 1,633.40
  4. Step 4: Simplify right side
    4,753.81x = 11,648,099.49
  5. Step 5: Solve for x
    x = 11,648,099.49/4,753.81
  6. Step 6: Final answer
    x = 2,450.27

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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.