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Finding the Fourth Proportional to 3,880.80, 5,358.60 and 3,103.20

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Solution

The fourth proportional to 3,880.80, 5,358.60 and 3,103.20 is: 4,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.80 : 5,358.60 = 3,103.20 : x
  2. Step 2: Convert to fraction form
    3,880.80/5,358.60 = 3,103.20/x
  3. Step 3: Cross multiply
    3,880.80x = 5,358.60 × 3,103.20
  4. Step 4: Simplify right side
    3,880.80x = 16,628,807.52
  5. Step 5: Solve for x
    x = 16,628,807.52/3,880.80
  6. Step 6: Final answer
    x = 4,284.89

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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.