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Finding the Fourth Proportional to 3,932.16, 5,425 and 2,438.52

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Solution

The fourth proportional to 3,932.16, 5,425 and 2,438.52 is: 3,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.16 : 5,425 = 2,438.52 : x
  2. Step 2: Convert to fraction form
    3,932.16/5,425 = 2,438.52/x
  3. Step 3: Cross multiply
    3,932.16x = 5,425 × 2,438.52
  4. Step 4: Simplify right side
    3,932.16x = 13,228,971
  5. Step 5: Solve for x
    x = 13,228,971/3,932.16
  6. Step 6: Final answer
    x = 3,364.30

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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.