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Finding the Fourth Proportional to 5,361.41, 8,042.42 and 1,664.17

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Solution

The fourth proportional to 5,361.41, 8,042.42 and 1,664.17 is: 2,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.41 : 8,042.42 = 1,664.17 : x
  2. Step 2: Convert to fraction form
    5,361.41/8,042.42 = 1,664.17/x
  3. Step 3: Cross multiply
    5,361.41x = 8,042.42 × 1,664.17
  4. Step 4: Simplify right side
    5,361.41x = 13,383,938.15
  5. Step 5: Solve for x
    x = 13,383,938.15/5,361.41
  6. Step 6: Final answer
    x = 2,496.35

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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.