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Finding the Fourth Proportional to 5,922.64, 8,887.20 and 3,976.48

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Solution

The fourth proportional to 5,922.64, 8,887.20 and 3,976.48 is: 5,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.64 : 8,887.20 = 3,976.48 : x
  2. Step 2: Convert to fraction form
    5,922.64/8,887.20 = 3,976.48/x
  3. Step 3: Cross multiply
    5,922.64x = 8,887.20 × 3,976.48
  4. Step 4: Simplify right side
    5,922.64x = 35,339,773.06
  5. Step 5: Solve for x
    x = 35,339,773.06/5,922.64
  6. Step 6: Final answer
    x = 5,966.90

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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.