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Finding the Fourth Proportional to 3,697.56, 5,524.67 and 3,568.37

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Solution

The fourth proportional to 3,697.56, 5,524.67 and 3,568.37 is: 5,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.56 : 5,524.67 = 3,568.37 : x
  2. Step 2: Convert to fraction form
    3,697.56/5,524.67 = 3,568.37/x
  3. Step 3: Cross multiply
    3,697.56x = 5,524.67 × 3,568.37
  4. Step 4: Simplify right side
    3,697.56x = 19,714,066.69
  5. Step 5: Solve for x
    x = 19,714,066.69/3,697.56
  6. Step 6: Final answer
    x = 5,331.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.