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Finding the Fourth Proportional to 5,230.32, 7,216.92 and 3,836.40

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Solution

The fourth proportional to 5,230.32, 7,216.92 and 3,836.40 is: 5,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.32 : 7,216.92 = 3,836.40 : x
  2. Step 2: Convert to fraction form
    5,230.32/7,216.92 = 3,836.40/x
  3. Step 3: Cross multiply
    5,230.32x = 7,216.92 × 3,836.40
  4. Step 4: Simplify right side
    5,230.32x = 27,686,991.89
  5. Step 5: Solve for x
    x = 27,686,991.89/5,230.32
  6. Step 6: Final answer
    x = 5,293.56

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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.