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Finding the Fourth Proportional to 6,128.22, 8,457.04 and 3,769.50

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Solution

The fourth proportional to 6,128.22, 8,457.04 and 3,769.50 is: 5,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.22 : 8,457.04 = 3,769.50 : x
  2. Step 2: Convert to fraction form
    6,128.22/8,457.04 = 3,769.50/x
  3. Step 3: Cross multiply
    6,128.22x = 8,457.04 × 3,769.50
  4. Step 4: Simplify right side
    6,128.22x = 31,878,812.28
  5. Step 5: Solve for x
    x = 31,878,812.28/6,128.22
  6. Step 6: Final answer
    x = 5,201.97

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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.