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Finding the Fourth Proportional to 5,685.58, 7,846.12 and 3,296.03

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Solution

The fourth proportional to 5,685.58, 7,846.12 and 3,296.03 is: 4,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.58 : 7,846.12 = 3,296.03 : x
  2. Step 2: Convert to fraction form
    5,685.58/7,846.12 = 3,296.03/x
  3. Step 3: Cross multiply
    5,685.58x = 7,846.12 × 3,296.03
  4. Step 4: Simplify right side
    5,685.58x = 25,861,021.06
  5. Step 5: Solve for x
    x = 25,861,021.06/5,685.58
  6. Step 6: Final answer
    x = 4,548.52

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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.