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Finding the Fourth Proportional to 3,664.80, 5,497.80 and 2,022.93

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Solution

The fourth proportional to 3,664.80, 5,497.80 and 2,022.93 is: 3,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.80 : 5,497.80 = 2,022.93 : x
  2. Step 2: Convert to fraction form
    3,664.80/5,497.80 = 2,022.93/x
  3. Step 3: Cross multiply
    3,664.80x = 5,497.80 × 2,022.93
  4. Step 4: Simplify right side
    3,664.80x = 11,121,664.55
  5. Step 5: Solve for x
    x = 11,121,664.55/3,664.80
  6. Step 6: Final answer
    x = 3,034.73

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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.