Home / 5,222.75-7,834.53-1,760

Finding the Fourth Proportional to 5,222.75, 7,834.53 and 1,760

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Solution

The fourth proportional to 5,222.75, 7,834.53 and 1,760 is: 2,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.75 : 7,834.53 = 1,760 : x
  2. Step 2: Convert to fraction form
    5,222.75/7,834.53 = 1,760/x
  3. Step 3: Cross multiply
    5,222.75x = 7,834.53 × 1,760
  4. Step 4: Simplify right side
    5,222.75x = 13,788,772.80
  5. Step 5: Solve for x
    x = 13,788,772.80/5,222.75
  6. Step 6: Final answer
    x = 2,640.14

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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.