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Finding the Fourth Proportional to 4,839.80, 7,267.80 and 3,203.60

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Solution

The fourth proportional to 4,839.80, 7,267.80 and 3,203.60 is: 4,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.80 : 7,267.80 = 3,203.60 : x
  2. Step 2: Convert to fraction form
    4,839.80/7,267.80 = 3,203.60/x
  3. Step 3: Cross multiply
    4,839.80x = 7,267.80 × 3,203.60
  4. Step 4: Simplify right side
    4,839.80x = 23,283,124.08
  5. Step 5: Solve for x
    x = 23,283,124.08/4,839.80
  6. Step 6: Final answer
    x = 4,810.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.