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Finding the Fourth Proportional to 3,922.64, 5,418.04 and 2,932.32

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Solution

The fourth proportional to 3,922.64, 5,418.04 and 2,932.32 is: 4,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.64 : 5,418.04 = 2,932.32 : x
  2. Step 2: Convert to fraction form
    3,922.64/5,418.04 = 2,932.32/x
  3. Step 3: Cross multiply
    3,922.64x = 5,418.04 × 2,932.32
  4. Step 4: Simplify right side
    3,922.64x = 15,887,415.06
  5. Step 5: Solve for x
    x = 15,887,415.06/3,922.64
  6. Step 6: Final answer
    x = 4,050.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.