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Finding the Fourth Proportional to 3,957.57, 5,461.23 and 2,189.13

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Solution

The fourth proportional to 3,957.57, 5,461.23 and 2,189.13 is: 3,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.57 : 5,461.23 = 2,189.13 : x
  2. Step 2: Convert to fraction form
    3,957.57/5,461.23 = 2,189.13/x
  3. Step 3: Cross multiply
    3,957.57x = 5,461.23 × 2,189.13
  4. Step 4: Simplify right side
    3,957.57x = 11,955,342.43
  5. Step 5: Solve for x
    x = 11,955,342.43/3,957.57
  6. Step 6: Final answer
    x = 3,020.88

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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.