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Finding the Fourth Proportional to 4,361.29, 6,542.01 and 4,022.75

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Solution

The fourth proportional to 4,361.29, 6,542.01 and 4,022.75 is: 6,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.29 : 6,542.01 = 4,022.75 : x
  2. Step 2: Convert to fraction form
    4,361.29/6,542.01 = 4,022.75/x
  3. Step 3: Cross multiply
    4,361.29x = 6,542.01 × 4,022.75
  4. Step 4: Simplify right side
    4,361.29x = 26,316,887.08
  5. Step 5: Solve for x
    x = 26,316,887.08/4,361.29
  6. Step 6: Final answer
    x = 6,034.20

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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.