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Finding the Fourth Proportional to 6,504.26, 8,976 and 3,850.70

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Solution

The fourth proportional to 6,504.26, 8,976 and 3,850.70 is: 5,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.26 : 8,976 = 3,850.70 : x
  2. Step 2: Convert to fraction form
    6,504.26/8,976 = 3,850.70/x
  3. Step 3: Cross multiply
    6,504.26x = 8,976 × 3,850.70
  4. Step 4: Simplify right side
    6,504.26x = 34,563,883.20
  5. Step 5: Solve for x
    x = 34,563,883.20/6,504.26
  6. Step 6: Final answer
    x = 5,314.04

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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.