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Finding the Fourth Proportional to 3,807.80, 5,338.60 and 3,807.80

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Solution

The fourth proportional to 3,807.80, 5,338.60 and 3,807.80 is: 5,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.80 : 5,338.60 = 3,807.80 : x
  2. Step 2: Convert to fraction form
    3,807.80/5,338.60 = 3,807.80/x
  3. Step 3: Cross multiply
    3,807.80x = 5,338.60 × 3,807.80
  4. Step 4: Simplify right side
    3,807.80x = 20,328,321.08
  5. Step 5: Solve for x
    x = 20,328,321.08/3,807.80
  6. Step 6: Final answer
    x = 5,338.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.