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Finding the Fourth Proportional to 5,902.65, 8,847.36 and 2,391.84

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Solution

The fourth proportional to 5,902.65, 8,847.36 and 2,391.84 is: 3,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.65 : 8,847.36 = 2,391.84 : x
  2. Step 2: Convert to fraction form
    5,902.65/8,847.36 = 2,391.84/x
  3. Step 3: Cross multiply
    5,902.65x = 8,847.36 × 2,391.84
  4. Step 4: Simplify right side
    5,902.65x = 21,161,469.54
  5. Step 5: Solve for x
    x = 21,161,469.54/5,902.65
  6. Step 6: Final answer
    x = 3,585.08

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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.