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Finding the Fourth Proportional to 5,219.65, 7,832.31 and 3,029.95

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Solution

The fourth proportional to 5,219.65, 7,832.31 and 3,029.95 is: 4,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.65 : 7,832.31 = 3,029.95 : x
  2. Step 2: Convert to fraction form
    5,219.65/7,832.31 = 3,029.95/x
  3. Step 3: Cross multiply
    5,219.65x = 7,832.31 × 3,029.95
  4. Step 4: Simplify right side
    5,219.65x = 23,731,507.68
  5. Step 5: Solve for x
    x = 23,731,507.68/5,219.65
  6. Step 6: Final answer
    x = 4,546.57

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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.