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Finding the Fourth Proportional to 4,361.92, 6,542.88 and 1,764.16

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Solution

The fourth proportional to 4,361.92, 6,542.88 and 1,764.16 is: 2,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.92 : 6,542.88 = 1,764.16 : x
  2. Step 2: Convert to fraction form
    4,361.92/6,542.88 = 1,764.16/x
  3. Step 3: Cross multiply
    4,361.92x = 6,542.88 × 1,764.16
  4. Step 4: Simplify right side
    4,361.92x = 11,542,687.18
  5. Step 5: Solve for x
    x = 11,542,687.18/4,361.92
  6. Step 6: Final answer
    x = 2,646.24

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Similar ratio
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1.5x scale

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.