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Finding the Fourth Proportional to 3,453.78, 4,763.64 and 2,193.75

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Solution

The fourth proportional to 3,453.78, 4,763.64 and 2,193.75 is: 3,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.78 : 4,763.64 = 2,193.75 : x
  2. Step 2: Convert to fraction form
    3,453.78/4,763.64 = 2,193.75/x
  3. Step 3: Cross multiply
    3,453.78x = 4,763.64 × 2,193.75
  4. Step 4: Simplify right side
    3,453.78x = 10,450,235.25
  5. Step 5: Solve for x
    x = 10,450,235.25/3,453.78
  6. Step 6: Final answer
    x = 3,025.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.