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Finding the Fourth Proportional to 3,968.60, 5,476.23 and 2,199.77

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Solution

The fourth proportional to 3,968.60, 5,476.23 and 2,199.77 is: 3,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.60 : 5,476.23 = 2,199.77 : x
  2. Step 2: Convert to fraction form
    3,968.60/5,476.23 = 2,199.77/x
  3. Step 3: Cross multiply
    3,968.60x = 5,476.23 × 2,199.77
  4. Step 4: Simplify right side
    3,968.60x = 12,046,419.09
  5. Step 5: Solve for x
    x = 12,046,419.09/3,968.60
  6. Step 6: Final answer
    x = 3,035.43

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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.