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Finding the Fourth Proportional to 3,605.96, 4,976.46 and 2,033.96

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Solution

The fourth proportional to 3,605.96, 4,976.46 and 2,033.96 is: 2,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.96 : 4,976.46 = 2,033.96 : x
  2. Step 2: Convert to fraction form
    3,605.96/4,976.46 = 2,033.96/x
  3. Step 3: Cross multiply
    3,605.96x = 4,976.46 × 2,033.96
  4. Step 4: Simplify right side
    3,605.96x = 10,121,920.58
  5. Step 5: Solve for x
    x = 10,121,920.58/3,605.96
  6. Step 6: Final answer
    x = 2,807.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.