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Finding the Fourth Proportional to 5,876.55, 8,116.20 and 3,896.10

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Solution

The fourth proportional to 5,876.55, 8,116.20 and 3,896.10 is: 5,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.55 : 8,116.20 = 3,896.10 : x
  2. Step 2: Convert to fraction form
    5,876.55/8,116.20 = 3,896.10/x
  3. Step 3: Cross multiply
    5,876.55x = 8,116.20 × 3,896.10
  4. Step 4: Simplify right side
    5,876.55x = 31,621,526.82
  5. Step 5: Solve for x
    x = 31,621,526.82/5,876.55
  6. Step 6: Final answer
    x = 5,380.97

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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.