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Finding the Fourth Proportional to 5,172.53, 7,759.50 and 1,661.37

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Solution

The fourth proportional to 5,172.53, 7,759.50 and 1,661.37 is: 2,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.53 : 7,759.50 = 1,661.37 : x
  2. Step 2: Convert to fraction form
    5,172.53/7,759.50 = 1,661.37/x
  3. Step 3: Cross multiply
    5,172.53x = 7,759.50 × 1,661.37
  4. Step 4: Simplify right side
    5,172.53x = 12,891,400.52
  5. Step 5: Solve for x
    x = 12,891,400.52/5,172.53
  6. Step 6: Final answer
    x = 2,492.28

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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.