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Finding the Fourth Proportional to 3,968.32, 5,476.17 and 2,199.89

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Solution

The fourth proportional to 3,968.32, 5,476.17 and 2,199.89 is: 3,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.32 : 5,476.17 = 2,199.89 : x
  2. Step 2: Convert to fraction form
    3,968.32/5,476.17 = 2,199.89/x
  3. Step 3: Cross multiply
    3,968.32x = 5,476.17 × 2,199.89
  4. Step 4: Simplify right side
    3,968.32x = 12,046,971.62
  5. Step 5: Solve for x
    x = 12,046,971.62/3,968.32
  6. Step 6: Final answer
    x = 3,035.79

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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.