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Finding the Fourth Proportional to 3,438.22, 4,744.74 and 1,866.33

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Solution

The fourth proportional to 3,438.22, 4,744.74 and 1,866.33 is: 2,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.22 : 4,744.74 = 1,866.33 : x
  2. Step 2: Convert to fraction form
    3,438.22/4,744.74 = 1,866.33/x
  3. Step 3: Cross multiply
    3,438.22x = 4,744.74 × 1,866.33
  4. Step 4: Simplify right side
    3,438.22x = 8,855,250.60
  5. Step 5: Solve for x
    x = 8,855,250.60/3,438.22
  6. Step 6: Final answer
    x = 2,575.53

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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.