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Finding the Fourth Proportional to 3,896.32, 5,376 and 2,846.56

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Solution

The fourth proportional to 3,896.32, 5,376 and 2,846.56 is: 3,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.32 : 5,376 = 2,846.56 : x
  2. Step 2: Convert to fraction form
    3,896.32/5,376 = 2,846.56/x
  3. Step 3: Cross multiply
    3,896.32x = 5,376 × 2,846.56
  4. Step 4: Simplify right side
    3,896.32x = 15,303,106.56
  5. Step 5: Solve for x
    x = 15,303,106.56/3,896.32
  6. Step 6: Final answer
    x = 3,927.58

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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.