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Finding the Fourth Proportional to 5,952.21, 8,215.20 and 3,435.95

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Solution

The fourth proportional to 5,952.21, 8,215.20 and 3,435.95 is: 4,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.21 : 8,215.20 = 3,435.95 : x
  2. Step 2: Convert to fraction form
    5,952.21/8,215.20 = 3,435.95/x
  3. Step 3: Cross multiply
    5,952.21x = 8,215.20 × 3,435.95
  4. Step 4: Simplify right side
    5,952.21x = 28,227,016.44
  5. Step 5: Solve for x
    x = 28,227,016.44/5,952.21
  6. Step 6: Final answer
    x = 4,742.27

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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.