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Finding the Fourth Proportional to 3,957.21, 5,461.02 and 2,188.71

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Solution

The fourth proportional to 3,957.21, 5,461.02 and 2,188.71 is: 3,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.21 : 5,461.02 = 2,188.71 : x
  2. Step 2: Convert to fraction form
    3,957.21/5,461.02 = 2,188.71/x
  3. Step 3: Cross multiply
    3,957.21x = 5,461.02 × 2,188.71
  4. Step 4: Simplify right side
    3,957.21x = 11,952,589.08
  5. Step 5: Solve for x
    x = 11,952,589.08/3,957.21
  6. Step 6: Final answer
    x = 3,020.46

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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.