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Finding the Fourth Proportional to 5,065.89, 7,601.46 and 3,832.93

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Solution

The fourth proportional to 5,065.89, 7,601.46 and 3,832.93 is: 5,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.89 : 7,601.46 = 3,832.93 : x
  2. Step 2: Convert to fraction form
    5,065.89/7,601.46 = 3,832.93/x
  3. Step 3: Cross multiply
    5,065.89x = 7,601.46 × 3,832.93
  4. Step 4: Simplify right side
    5,065.89x = 29,135,864.08
  5. Step 5: Solve for x
    x = 29,135,864.08/5,065.89
  6. Step 6: Final answer
    x = 5,751.38

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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.