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Finding the Fourth Proportional to 5,583.80, 8,382.10 and 3,276.60

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Solution

The fourth proportional to 5,583.80, 8,382.10 and 3,276.60 is: 4,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.80 : 8,382.10 = 3,276.60 : x
  2. Step 2: Convert to fraction form
    5,583.80/8,382.10 = 3,276.60/x
  3. Step 3: Cross multiply
    5,583.80x = 8,382.10 × 3,276.60
  4. Step 4: Simplify right side
    5,583.80x = 27,464,788.86
  5. Step 5: Solve for x
    x = 27,464,788.86/5,583.80
  6. Step 6: Final answer
    x = 4,918.66

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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.