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Finding the Fourth Proportional to 3,957.83, 5,461.83 and 2,189.46

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Solution

The fourth proportional to 3,957.83, 5,461.83 and 2,189.46 is: 3,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.83 : 5,461.83 = 2,189.46 : x
  2. Step 2: Convert to fraction form
    3,957.83/5,461.83 = 2,189.46/x
  3. Step 3: Cross multiply
    3,957.83x = 5,461.83 × 2,189.46
  4. Step 4: Simplify right side
    3,957.83x = 11,958,478.79
  5. Step 5: Solve for x
    x = 11,958,478.79/3,957.83
  6. Step 6: Final answer
    x = 3,021.47

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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.