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Finding the Fourth Proportional to 3,922.88, 5,883.36 and 1,732.16

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Solution

The fourth proportional to 3,922.88, 5,883.36 and 1,732.16 is: 2,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.88 : 5,883.36 = 1,732.16 : x
  2. Step 2: Convert to fraction form
    3,922.88/5,883.36 = 1,732.16/x
  3. Step 3: Cross multiply
    3,922.88x = 5,883.36 × 1,732.16
  4. Step 4: Simplify right side
    3,922.88x = 10,190,920.86
  5. Step 5: Solve for x
    x = 10,190,920.86/3,922.88
  6. Step 6: Final answer
    x = 2,597.82

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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.