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Finding the Fourth Proportional to 3,957, 5,460.24 and 2,188.56

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Solution

The fourth proportional to 3,957, 5,460.24 and 2,188.56 is: 3,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957 : 5,460.24 = 2,188.56 : x
  2. Step 2: Convert to fraction form
    3,957/5,460.24 = 2,188.56/x
  3. Step 3: Cross multiply
    3,957x = 5,460.24 × 2,188.56
  4. Step 4: Simplify right side
    3,957x = 11,950,062.85
  5. Step 5: Solve for x
    x = 11,950,062.85/3,957
  6. Step 6: Final answer
    x = 3,019.98

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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.