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Finding the Fourth Proportional to 5,409.56, 8,116.68 and 2,638.64

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Solution

The fourth proportional to 5,409.56, 8,116.68 and 2,638.64 is: 3,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.56 : 8,116.68 = 2,638.64 : x
  2. Step 2: Convert to fraction form
    5,409.56/8,116.68 = 2,638.64/x
  3. Step 3: Cross multiply
    5,409.56x = 8,116.68 × 2,638.64
  4. Step 4: Simplify right side
    5,409.56x = 21,416,996.52
  5. Step 5: Solve for x
    x = 21,416,996.52/5,409.56
  6. Step 6: Final answer
    x = 3,959.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.