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Finding the Fourth Proportional to 3,641.34, 5,457.78 and 2,082.43

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Solution

The fourth proportional to 3,641.34, 5,457.78 and 2,082.43 is: 3,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.34 : 5,457.78 = 2,082.43 : x
  2. Step 2: Convert to fraction form
    3,641.34/5,457.78 = 2,082.43/x
  3. Step 3: Cross multiply
    3,641.34x = 5,457.78 × 2,082.43
  4. Step 4: Simplify right side
    3,641.34x = 11,365,444.81
  5. Step 5: Solve for x
    x = 11,365,444.81/3,641.34
  6. Step 6: Final answer
    x = 3,121.23

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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.