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Finding the Fourth Proportional to 5,685.06, 7,846.01 and 3,447.03

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Solution

The fourth proportional to 5,685.06, 7,846.01 and 3,447.03 is: 4,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.06 : 7,846.01 = 3,447.03 : x
  2. Step 2: Convert to fraction form
    5,685.06/7,846.01 = 3,447.03/x
  3. Step 3: Cross multiply
    5,685.06x = 7,846.01 × 3,447.03
  4. Step 4: Simplify right side
    5,685.06x = 27,045,431.85
  5. Step 5: Solve for x
    x = 27,045,431.85/5,685.06
  6. Step 6: Final answer
    x = 4,757.28

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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.