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Finding the Fourth Proportional to 3,932.04, 5,420.28 and 3,232.20

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Solution

The fourth proportional to 3,932.04, 5,420.28 and 3,232.20 is: 4,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.04 : 5,420.28 = 3,232.20 : x
  2. Step 2: Convert to fraction form
    3,932.04/5,420.28 = 3,232.20/x
  3. Step 3: Cross multiply
    3,932.04x = 5,420.28 × 3,232.20
  4. Step 4: Simplify right side
    3,932.04x = 17,519,429.02
  5. Step 5: Solve for x
    x = 17,519,429.02/3,932.04
  6. Step 6: Final answer
    x = 4,455.56

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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.