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Finding the Fourth Proportional to 5,396.88, 8,095.32 and 2,109.12

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Solution

The fourth proportional to 5,396.88, 8,095.32 and 2,109.12 is: 3,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.88 : 8,095.32 = 2,109.12 : x
  2. Step 2: Convert to fraction form
    5,396.88/8,095.32 = 2,109.12/x
  3. Step 3: Cross multiply
    5,396.88x = 8,095.32 × 2,109.12
  4. Step 4: Simplify right side
    5,396.88x = 17,074,001.32
  5. Step 5: Solve for x
    x = 17,074,001.32/5,396.88
  6. Step 6: Final answer
    x = 3,163.68

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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.