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Finding the Fourth Proportional to 3,896.52, 5,846.40 and 2,339.52

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Solution

The fourth proportional to 3,896.52, 5,846.40 and 2,339.52 is: 3,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.52 : 5,846.40 = 2,339.52 : x
  2. Step 2: Convert to fraction form
    3,896.52/5,846.40 = 2,339.52/x
  3. Step 3: Cross multiply
    3,896.52x = 5,846.40 × 2,339.52
  4. Step 4: Simplify right side
    3,896.52x = 13,677,769.73
  5. Step 5: Solve for x
    x = 13,677,769.73/3,896.52
  6. Step 6: Final answer
    x = 3,510.25

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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.