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Finding the Fourth Proportional to 6,057.21, 8,355.53 and 3,815.23

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Solution

The fourth proportional to 6,057.21, 8,355.53 and 3,815.23 is: 5,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.21 : 8,355.53 = 3,815.23 : x
  2. Step 2: Convert to fraction form
    6,057.21/8,355.53 = 3,815.23/x
  3. Step 3: Cross multiply
    6,057.21x = 8,355.53 × 3,815.23
  4. Step 4: Simplify right side
    6,057.21x = 31,878,268.72
  5. Step 5: Solve for x
    x = 31,878,268.72/6,057.21
  6. Step 6: Final answer
    x = 5,262.86

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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.