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Finding the Fourth Proportional to 4,361.46, 6,542.16 and 1,764.36

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Solution

The fourth proportional to 4,361.46, 6,542.16 and 1,764.36 is: 2,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.46 : 6,542.16 = 1,764.36 : x
  2. Step 2: Convert to fraction form
    4,361.46/6,542.16 = 1,764.36/x
  3. Step 3: Cross multiply
    4,361.46x = 6,542.16 × 1,764.36
  4. Step 4: Simplify right side
    4,361.46x = 11,542,725.42
  5. Step 5: Solve for x
    x = 11,542,725.42/4,361.46
  6. Step 6: Final answer
    x = 2,646.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.