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Finding the Fourth Proportional to 6,216.96, 8,578.50 and 3,858.24

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Solution

The fourth proportional to 6,216.96, 8,578.50 and 3,858.24 is: 5,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.96 : 8,578.50 = 3,858.24 : x
  2. Step 2: Convert to fraction form
    6,216.96/8,578.50 = 3,858.24/x
  3. Step 3: Cross multiply
    6,216.96x = 8,578.50 × 3,858.24
  4. Step 4: Simplify right side
    6,216.96x = 33,097,911.84
  5. Step 5: Solve for x
    x = 33,097,911.84/6,216.96
  6. Step 6: Final answer
    x = 5,323.81

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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.