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Finding the Fourth Proportional to 3,715.53, 5,573.25 and 1,524.24

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Solution

The fourth proportional to 3,715.53, 5,573.25 and 1,524.24 is: 2,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.53 : 5,573.25 = 1,524.24 : x
  2. Step 2: Convert to fraction form
    3,715.53/5,573.25 = 1,524.24/x
  3. Step 3: Cross multiply
    3,715.53x = 5,573.25 × 1,524.24
  4. Step 4: Simplify right side
    3,715.53x = 8,494,970.58
  5. Step 5: Solve for x
    x = 8,494,970.58/3,715.53
  6. Step 6: Final answer
    x = 2,286.34

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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.