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Finding the Fourth Proportional to 5,834.30, 8,054.41 and 4,687.54

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Solution

The fourth proportional to 5,834.30, 8,054.41 and 4,687.54 is: 6,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.30 : 8,054.41 = 4,687.54 : x
  2. Step 2: Convert to fraction form
    5,834.30/8,054.41 = 4,687.54/x
  3. Step 3: Cross multiply
    5,834.30x = 8,054.41 × 4,687.54
  4. Step 4: Simplify right side
    5,834.30x = 37,755,369.05
  5. Step 5: Solve for x
    x = 37,755,369.05/5,834.30
  6. Step 6: Final answer
    x = 6,471.28

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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.