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Finding the Fourth Proportional to 6,100, 8,415.18 and 3,581.30

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Solution

The fourth proportional to 6,100, 8,415.18 and 3,581.30 is: 4,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100 : 8,415.18 = 3,581.30 : x
  2. Step 2: Convert to fraction form
    6,100/8,415.18 = 3,581.30/x
  3. Step 3: Cross multiply
    6,100x = 8,415.18 × 3,581.30
  4. Step 4: Simplify right side
    6,100x = 30,137,284.13
  5. Step 5: Solve for x
    x = 30,137,284.13/6,100
  6. Step 6: Final answer
    x = 4,940.54

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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.