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Finding the Fourth Proportional to 5,431.89, 7,496.42 and 3,074.39

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Solution

The fourth proportional to 5,431.89, 7,496.42 and 3,074.39 is: 4,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.89 : 7,496.42 = 3,074.39 : x
  2. Step 2: Convert to fraction form
    5,431.89/7,496.42 = 3,074.39/x
  3. Step 3: Cross multiply
    5,431.89x = 7,496.42 × 3,074.39
  4. Step 4: Simplify right side
    5,431.89x = 23,046,865.83
  5. Step 5: Solve for x
    x = 23,046,865.83/5,431.89
  6. Step 6: Final answer
    x = 4,242.88

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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.