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Finding the Fourth Proportional to 5,964.13, 8,230.22 and 3,311.70

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Solution

The fourth proportional to 5,964.13, 8,230.22 and 3,311.70 is: 4,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.13 : 8,230.22 = 3,311.70 : x
  2. Step 2: Convert to fraction form
    5,964.13/8,230.22 = 3,311.70/x
  3. Step 3: Cross multiply
    5,964.13x = 8,230.22 × 3,311.70
  4. Step 4: Simplify right side
    5,964.13x = 27,256,030.87
  5. Step 5: Solve for x
    x = 27,256,030.87/5,964.13
  6. Step 6: Final answer
    x = 4,570.00

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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.