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Finding the Fourth Proportional to 3,912.32, 5,795.28 and 3,868.64

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Solution

The fourth proportional to 3,912.32, 5,795.28 and 3,868.64 is: 5,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.32 : 5,795.28 = 3,868.64 : x
  2. Step 2: Convert to fraction form
    3,912.32/5,795.28 = 3,868.64/x
  3. Step 3: Cross multiply
    3,912.32x = 5,795.28 × 3,868.64
  4. Step 4: Simplify right side
    3,912.32x = 22,419,852.02
  5. Step 5: Solve for x
    x = 22,419,852.02/3,912.32
  6. Step 6: Final answer
    x = 5,730.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.