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Finding the Fourth Proportional to 5,361.88, 8,043.96 and 1,664.02

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Solution

The fourth proportional to 5,361.88, 8,043.96 and 1,664.02 is: 2,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.88 : 8,043.96 = 1,664.02 : x
  2. Step 2: Convert to fraction form
    5,361.88/8,043.96 = 1,664.02/x
  3. Step 3: Cross multiply
    5,361.88x = 8,043.96 × 1,664.02
  4. Step 4: Simplify right side
    5,361.88x = 13,385,310.32
  5. Step 5: Solve for x
    x = 13,385,310.32/5,361.88
  6. Step 6: Final answer
    x = 2,496.38

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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.