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Finding the Fourth Proportional to 5,120.30, 7,065.96 and 2,912.30

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Solution

The fourth proportional to 5,120.30, 7,065.96 and 2,912.30 is: 4,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.30 : 7,065.96 = 2,912.30 : x
  2. Step 2: Convert to fraction form
    5,120.30/7,065.96 = 2,912.30/x
  3. Step 3: Cross multiply
    5,120.30x = 7,065.96 × 2,912.30
  4. Step 4: Simplify right side
    5,120.30x = 20,578,195.31
  5. Step 5: Solve for x
    x = 20,578,195.31/5,120.30
  6. Step 6: Final answer
    x = 4,018.94

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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.