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Finding the Fourth Proportional to 4,615.33, 6,375.17 and 3,734.46

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Solution

The fourth proportional to 4,615.33, 6,375.17 and 3,734.46 is: 5,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.33 : 6,375.17 = 3,734.46 : x
  2. Step 2: Convert to fraction form
    4,615.33/6,375.17 = 3,734.46/x
  3. Step 3: Cross multiply
    4,615.33x = 6,375.17 × 3,734.46
  4. Step 4: Simplify right side
    4,615.33x = 23,807,817.36
  5. Step 5: Solve for x
    x = 23,807,817.36/4,615.33
  6. Step 6: Final answer
    x = 5,158.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.