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Finding the Fourth Proportional to 3,716.50, 5,570.43 and 1,522.57

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Solution

The fourth proportional to 3,716.50, 5,570.43 and 1,522.57 is: 2,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.50 : 5,570.43 = 1,522.57 : x
  2. Step 2: Convert to fraction form
    3,716.50/5,570.43 = 1,522.57/x
  3. Step 3: Cross multiply
    3,716.50x = 5,570.43 × 1,522.57
  4. Step 4: Simplify right side
    3,716.50x = 8,481,369.61
  5. Step 5: Solve for x
    x = 8,481,369.61/3,716.50
  6. Step 6: Final answer
    x = 2,282.09

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Why These Related Problems?

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