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Finding the Fourth Proportional to 3,968.28, 5,476.05 and 2,375.64

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Solution

The fourth proportional to 3,968.28, 5,476.05 and 2,375.64 is: 3,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.28 : 5,476.05 = 2,375.64 : x
  2. Step 2: Convert to fraction form
    3,968.28/5,476.05 = 2,375.64/x
  3. Step 3: Cross multiply
    3,968.28x = 5,476.05 × 2,375.64
  4. Step 4: Simplify right side
    3,968.28x = 13,009,123.42
  5. Step 5: Solve for x
    x = 13,009,123.42/3,968.28
  6. Step 6: Final answer
    x = 3,278.28

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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.