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Finding the Fourth Proportional to 3,932.96, 5,416.53 and 3,920.90

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Solution

The fourth proportional to 3,932.96, 5,416.53 and 3,920.90 is: 5,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.96 : 5,416.53 = 3,920.90 : x
  2. Step 2: Convert to fraction form
    3,932.96/5,416.53 = 3,920.90/x
  3. Step 3: Cross multiply
    3,932.96x = 5,416.53 × 3,920.90
  4. Step 4: Simplify right side
    3,932.96x = 21,237,672.48
  5. Step 5: Solve for x
    x = 21,237,672.48/3,932.96
  6. Step 6: Final answer
    x = 5,399.92

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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.