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Finding the Fourth Proportional to 5,687.10, 7,846.03 and 3,561.75

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Solution

The fourth proportional to 5,687.10, 7,846.03 and 3,561.75 is: 4,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.10 : 7,846.03 = 3,561.75 : x
  2. Step 2: Convert to fraction form
    5,687.10/7,846.03 = 3,561.75/x
  3. Step 3: Cross multiply
    5,687.10x = 7,846.03 × 3,561.75
  4. Step 4: Simplify right side
    5,687.10x = 27,945,597.35
  5. Step 5: Solve for x
    x = 27,945,597.35/5,687.10
  6. Step 6: Final answer
    x = 4,913.86

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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.