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Finding the Fourth Proportional to 3,957.66, 5,461.20 and 2,189.21

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Solution

The fourth proportional to 3,957.66, 5,461.20 and 2,189.21 is: 3,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.66 : 5,461.20 = 2,189.21 : x
  2. Step 2: Convert to fraction form
    3,957.66/5,461.20 = 2,189.21/x
  3. Step 3: Cross multiply
    3,957.66x = 5,461.20 × 2,189.21
  4. Step 4: Simplify right side
    3,957.66x = 11,955,686.35
  5. Step 5: Solve for x
    x = 11,955,686.35/3,957.66
  6. Step 6: Final answer
    x = 3,020.90

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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.