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Finding the Fourth Proportional to 3,887.45, 5,832.04 and 1,422.21

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Solution

The fourth proportional to 3,887.45, 5,832.04 and 1,422.21 is: 2,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.45 : 5,832.04 = 1,422.21 : x
  2. Step 2: Convert to fraction form
    3,887.45/5,832.04 = 1,422.21/x
  3. Step 3: Cross multiply
    3,887.45x = 5,832.04 × 1,422.21
  4. Step 4: Simplify right side
    3,887.45x = 8,294,385.61
  5. Step 5: Solve for x
    x = 8,294,385.61/3,887.45
  6. Step 6: Final answer
    x = 2,133.63

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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.