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Finding the Fourth Proportional to 3,641.33, 5,023.01 and 2,225.34

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Solution

The fourth proportional to 3,641.33, 5,023.01 and 2,225.34 is: 3,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.33 : 5,023.01 = 2,225.34 : x
  2. Step 2: Convert to fraction form
    3,641.33/5,023.01 = 2,225.34/x
  3. Step 3: Cross multiply
    3,641.33x = 5,023.01 × 2,225.34
  4. Step 4: Simplify right side
    3,641.33x = 11,177,893.95
  5. Step 5: Solve for x
    x = 11,177,893.95/3,641.33
  6. Step 6: Final answer
    x = 3,069.73

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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.