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Finding the Fourth Proportional to 3,539.64, 5,311.80 and 3,512.28

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Solution

The fourth proportional to 3,539.64, 5,311.80 and 3,512.28 is: 5,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.64 : 5,311.80 = 3,512.28 : x
  2. Step 2: Convert to fraction form
    3,539.64/5,311.80 = 3,512.28/x
  3. Step 3: Cross multiply
    3,539.64x = 5,311.80 × 3,512.28
  4. Step 4: Simplify right side
    3,539.64x = 18,656,528.90
  5. Step 5: Solve for x
    x = 18,656,528.90/3,539.64
  6. Step 6: Final answer
    x = 5,270.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.