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Finding the Fourth Proportional to 3,669.59, 5,064 and 2,233.54

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Solution

The fourth proportional to 3,669.59, 5,064 and 2,233.54 is: 3,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.59 : 5,064 = 2,233.54 : x
  2. Step 2: Convert to fraction form
    3,669.59/5,064 = 2,233.54/x
  3. Step 3: Cross multiply
    3,669.59x = 5,064 × 2,233.54
  4. Step 4: Simplify right side
    3,669.59x = 11,310,646.56
  5. Step 5: Solve for x
    x = 11,310,646.56/3,669.59
  6. Step 6: Final answer
    x = 3,082.26

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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.