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Finding the Fourth Proportional to 3,646.73, 5,470.49 and 1,338.23

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Solution

The fourth proportional to 3,646.73, 5,470.49 and 1,338.23 is: 2,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.73 : 5,470.49 = 1,338.23 : x
  2. Step 2: Convert to fraction form
    3,646.73/5,470.49 = 1,338.23/x
  3. Step 3: Cross multiply
    3,646.73x = 5,470.49 × 1,338.23
  4. Step 4: Simplify right side
    3,646.73x = 7,320,773.83
  5. Step 5: Solve for x
    x = 7,320,773.83/3,646.73
  6. Step 6: Final answer
    x = 2,007.49

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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.