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Finding the Fourth Proportional to 4,361.64, 6,542.46 and 1,764.57

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Solution

The fourth proportional to 4,361.64, 6,542.46 and 1,764.57 is: 2,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.64 : 6,542.46 = 1,764.57 : x
  2. Step 2: Convert to fraction form
    4,361.64/6,542.46 = 1,764.57/x
  3. Step 3: Cross multiply
    4,361.64x = 6,542.46 × 1,764.57
  4. Step 4: Simplify right side
    4,361.64x = 11,544,628.64
  5. Step 5: Solve for x
    x = 11,544,628.64/4,361.64
  6. Step 6: Final answer
    x = 2,646.86

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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.