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Finding the Fourth Proportional to 3,957.26, 5,460.80 and 2,164.38

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Solution

The fourth proportional to 3,957.26, 5,460.80 and 2,164.38 is: 2,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.26 : 5,460.80 = 2,164.38 : x
  2. Step 2: Convert to fraction form
    3,957.26/5,460.80 = 2,164.38/x
  3. Step 3: Cross multiply
    3,957.26x = 5,460.80 × 2,164.38
  4. Step 4: Simplify right side
    3,957.26x = 11,819,235.48
  5. Step 5: Solve for x
    x = 11,819,235.48/3,957.26
  6. Step 6: Final answer
    x = 2,986.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.