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Finding the Fourth Proportional to 6,128.44, 8,457.24 and 3,475.86

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Solution

The fourth proportional to 6,128.44, 8,457.24 and 3,475.86 is: 4,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.44 : 8,457.24 = 3,475.86 : x
  2. Step 2: Convert to fraction form
    6,128.44/8,457.24 = 3,475.86/x
  3. Step 3: Cross multiply
    6,128.44x = 8,457.24 × 3,475.86
  4. Step 4: Simplify right side
    6,128.44x = 29,396,211.12
  5. Step 5: Solve for x
    x = 29,396,211.12/6,128.44
  6. Step 6: Final answer
    x = 4,796.68

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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.