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Finding the Fourth Proportional to 5,100.36, 7,651.68 and 1,813.44

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Solution

The fourth proportional to 5,100.36, 7,651.68 and 1,813.44 is: 2,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.36 : 7,651.68 = 1,813.44 : x
  2. Step 2: Convert to fraction form
    5,100.36/7,651.68 = 1,813.44/x
  3. Step 3: Cross multiply
    5,100.36x = 7,651.68 × 1,813.44
  4. Step 4: Simplify right side
    5,100.36x = 13,875,862.58
  5. Step 5: Solve for x
    x = 13,875,862.58/5,100.36
  6. Step 6: Final answer
    x = 2,720.57

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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.