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Finding the Fourth Proportional to 3,968.40, 5,476.12 and 2,199.84

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Solution

The fourth proportional to 3,968.40, 5,476.12 and 2,199.84 is: 3,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.40 : 5,476.12 = 2,199.84 : x
  2. Step 2: Convert to fraction form
    3,968.40/5,476.12 = 2,199.84/x
  3. Step 3: Cross multiply
    3,968.40x = 5,476.12 × 2,199.84
  4. Step 4: Simplify right side
    3,968.40x = 12,046,587.82
  5. Step 5: Solve for x
    x = 12,046,587.82/3,968.40
  6. Step 6: Final answer
    x = 3,035.63

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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.