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Finding the Fourth Proportional to 3,930.40, 5,419.20 and 2,880.64

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Solution

The fourth proportional to 3,930.40, 5,419.20 and 2,880.64 is: 3,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.40 : 5,419.20 = 2,880.64 : x
  2. Step 2: Convert to fraction form
    3,930.40/5,419.20 = 2,880.64/x
  3. Step 3: Cross multiply
    3,930.40x = 5,419.20 × 2,880.64
  4. Step 4: Simplify right side
    3,930.40x = 15,610,764.29
  5. Step 5: Solve for x
    x = 15,610,764.29/3,930.40
  6. Step 6: Final answer
    x = 3,971.80

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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.