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Finding the Fourth Proportional to 4,954.31, 7,432.70 and 3,496.31

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Solution

The fourth proportional to 4,954.31, 7,432.70 and 3,496.31 is: 5,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.31 : 7,432.70 = 3,496.31 : x
  2. Step 2: Convert to fraction form
    4,954.31/7,432.70 = 3,496.31/x
  3. Step 3: Cross multiply
    4,954.31x = 7,432.70 × 3,496.31
  4. Step 4: Simplify right side
    4,954.31x = 25,987,023.34
  5. Step 5: Solve for x
    x = 25,987,023.34/4,954.31
  6. Step 6: Final answer
    x = 5,245.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.