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Finding the Fourth Proportional to 4,014, 5,542.74 and 2,524.41

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Solution

The fourth proportional to 4,014, 5,542.74 and 2,524.41 is: 3,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 5,542.74 = 2,524.41 : x
  2. Step 2: Convert to fraction form
    4,014/5,542.74 = 2,524.41/x
  3. Step 3: Cross multiply
    4,014x = 5,542.74 × 2,524.41
  4. Step 4: Simplify right side
    4,014x = 13,992,148.28
  5. Step 5: Solve for x
    x = 13,992,148.28/4,014
  6. Step 6: Final answer
    x = 3,485.84

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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.