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Finding the Fourth Proportional to 5,685.92, 7,846.58 and 3,296.35

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Solution

The fourth proportional to 5,685.92, 7,846.58 and 3,296.35 is: 4,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.92 : 7,846.58 = 3,296.35 : x
  2. Step 2: Convert to fraction form
    5,685.92/7,846.58 = 3,296.35/x
  3. Step 3: Cross multiply
    5,685.92x = 7,846.58 × 3,296.35
  4. Step 4: Simplify right side
    5,685.92x = 25,865,037.88
  5. Step 5: Solve for x
    x = 25,865,037.88/5,685.92
  6. Step 6: Final answer
    x = 4,548.97

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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.