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Finding the Fourth Proportional to 4,361.33, 6,541.97 and 1,766.09

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Solution

The fourth proportional to 4,361.33, 6,541.97 and 1,766.09 is: 2,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.33 : 6,541.97 = 1,766.09 : x
  2. Step 2: Convert to fraction form
    4,361.33/6,541.97 = 1,766.09/x
  3. Step 3: Cross multiply
    4,361.33x = 6,541.97 × 1,766.09
  4. Step 4: Simplify right side
    4,361.33x = 11,553,666.26
  5. Step 5: Solve for x
    x = 11,553,666.26/4,361.33
  6. Step 6: Final answer
    x = 2,649.12

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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.