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Finding the Fourth Proportional to 3,620.66, 4,996.51 and 1,964.66

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Solution

The fourth proportional to 3,620.66, 4,996.51 and 1,964.66 is: 2,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.66 : 4,996.51 = 1,964.66 : x
  2. Step 2: Convert to fraction form
    3,620.66/4,996.51 = 1,964.66/x
  3. Step 3: Cross multiply
    3,620.66x = 4,996.51 × 1,964.66
  4. Step 4: Simplify right side
    3,620.66x = 9,816,421.02
  5. Step 5: Solve for x
    x = 9,816,421.02/3,620.66
  6. Step 6: Final answer
    x = 2,711.23

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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.