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Finding the Fourth Proportional to 4,066, 5,611.20 and 2,493.76

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Solution

The fourth proportional to 4,066, 5,611.20 and 2,493.76 is: 3,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066 : 5,611.20 = 2,493.76 : x
  2. Step 2: Convert to fraction form
    4,066/5,611.20 = 2,493.76/x
  3. Step 3: Cross multiply
    4,066x = 5,611.20 × 2,493.76
  4. Step 4: Simplify right side
    4,066x = 13,992,986.11
  5. Step 5: Solve for x
    x = 13,992,986.11/4,066
  6. Step 6: Final answer
    x = 3,441.46

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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.