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Finding the Fourth Proportional to 3,957.36, 5,461.05 and 2,189.04

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Solution

The fourth proportional to 3,957.36, 5,461.05 and 2,189.04 is: 3,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.36 : 5,461.05 = 2,189.04 : x
  2. Step 2: Convert to fraction form
    3,957.36/5,461.05 = 2,189.04/x
  3. Step 3: Cross multiply
    3,957.36x = 5,461.05 × 2,189.04
  4. Step 4: Simplify right side
    3,957.36x = 11,954,456.89
  5. Step 5: Solve for x
    x = 11,954,456.89/3,957.36
  6. Step 6: Final answer
    x = 3,020.82

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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.