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Finding the Fourth Proportional to 3,617.91, 5,426.04 and 1,021.05

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Solution

The fourth proportional to 3,617.91, 5,426.04 and 1,021.05 is: 1,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.91 : 5,426.04 = 1,021.05 : x
  2. Step 2: Convert to fraction form
    3,617.91/5,426.04 = 1,021.05/x
  3. Step 3: Cross multiply
    3,617.91x = 5,426.04 × 1,021.05
  4. Step 4: Simplify right side
    3,617.91x = 5,540,261.97
  5. Step 5: Solve for x
    x = 5,540,261.97/3,617.91
  6. Step 6: Final answer
    x = 1,531.34

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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.