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Finding the Fourth Proportional to 3,715.81, 5,574.02 and 1,524.56

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Solution

The fourth proportional to 3,715.81, 5,574.02 and 1,524.56 is: 2,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.81 : 5,574.02 = 1,524.56 : x
  2. Step 2: Convert to fraction form
    3,715.81/5,574.02 = 1,524.56/x
  3. Step 3: Cross multiply
    3,715.81x = 5,574.02 × 1,524.56
  4. Step 4: Simplify right side
    3,715.81x = 8,497,927.93
  5. Step 5: Solve for x
    x = 8,497,927.93/3,715.81
  6. Step 6: Final answer
    x = 2,286.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.