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Finding the Fourth Proportional to 5,222.82, 7,834.36 and 1,760.06

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Solution

The fourth proportional to 5,222.82, 7,834.36 and 1,760.06 is: 2,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.82 : 7,834.36 = 1,760.06 : x
  2. Step 2: Convert to fraction form
    5,222.82/7,834.36 = 1,760.06/x
  3. Step 3: Cross multiply
    5,222.82x = 7,834.36 × 1,760.06
  4. Step 4: Simplify right side
    5,222.82x = 13,788,943.66
  5. Step 5: Solve for x
    x = 13,788,943.66/5,222.82
  6. Step 6: Final answer
    x = 2,640.13

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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.