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Finding the Fourth Proportional to 3,540.70, 5,311.05 and 1,232.20

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Solution

The fourth proportional to 3,540.70, 5,311.05 and 1,232.20 is: 1,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.70 : 5,311.05 = 1,232.20 : x
  2. Step 2: Convert to fraction form
    3,540.70/5,311.05 = 1,232.20/x
  3. Step 3: Cross multiply
    3,540.70x = 5,311.05 × 1,232.20
  4. Step 4: Simplify right side
    3,540.70x = 6,544,275.81
  5. Step 5: Solve for x
    x = 6,544,275.81/3,540.70
  6. Step 6: Final answer
    x = 1,848.30

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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.