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Finding the Fourth Proportional to 5,471.68, 7,546.44 and 3,700.48

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Solution

The fourth proportional to 5,471.68, 7,546.44 and 3,700.48 is: 5,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.68 : 7,546.44 = 3,700.48 : x
  2. Step 2: Convert to fraction form
    5,471.68/7,546.44 = 3,700.48/x
  3. Step 3: Cross multiply
    5,471.68x = 7,546.44 × 3,700.48
  4. Step 4: Simplify right side
    5,471.68x = 27,925,450.29
  5. Step 5: Solve for x
    x = 27,925,450.29/5,471.68
  6. Step 6: Final answer
    x = 5,103.63

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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.