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Finding the Fourth Proportional to 5,796.09, 8,694.20 and 1,636.20

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Solution

The fourth proportional to 5,796.09, 8,694.20 and 1,636.20 is: 2,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.09 : 8,694.20 = 1,636.20 : x
  2. Step 2: Convert to fraction form
    5,796.09/8,694.20 = 1,636.20/x
  3. Step 3: Cross multiply
    5,796.09x = 8,694.20 × 1,636.20
  4. Step 4: Simplify right side
    5,796.09x = 14,225,454.13
  5. Step 5: Solve for x
    x = 14,225,454.13/5,796.09
  6. Step 6: Final answer
    x = 2,454.32

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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.