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Finding the Fourth Proportional to 3,957.77, 5,461.76 and 2,189.41

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Solution

The fourth proportional to 3,957.77, 5,461.76 and 2,189.41 is: 3,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.77 : 5,461.76 = 2,189.41 : x
  2. Step 2: Convert to fraction form
    3,957.77/5,461.76 = 2,189.41/x
  3. Step 3: Cross multiply
    3,957.77x = 5,461.76 × 2,189.41
  4. Step 4: Simplify right side
    3,957.77x = 11,958,023.78
  5. Step 5: Solve for x
    x = 11,958,023.78/3,957.77
  6. Step 6: Final answer
    x = 3,021.40

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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.