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Finding the Fourth Proportional to 6,134.68, 8,461.56 and 3,778.12

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Solution

The fourth proportional to 6,134.68, 8,461.56 and 3,778.12 is: 5,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.68 : 8,461.56 = 3,778.12 : x
  2. Step 2: Convert to fraction form
    6,134.68/8,461.56 = 3,778.12/x
  3. Step 3: Cross multiply
    6,134.68x = 8,461.56 × 3,778.12
  4. Step 4: Simplify right side
    6,134.68x = 31,968,789.07
  5. Step 5: Solve for x
    x = 31,968,789.07/6,134.68
  6. Step 6: Final answer
    x = 5,211.16

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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.