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Finding the Fourth Proportional to 3,645.97, 5,470.11 and 1,304.37

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Solution

The fourth proportional to 3,645.97, 5,470.11 and 1,304.37 is: 1,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.97 : 5,470.11 = 1,304.37 : x
  2. Step 2: Convert to fraction form
    3,645.97/5,470.11 = 1,304.37/x
  3. Step 3: Cross multiply
    3,645.97x = 5,470.11 × 1,304.37
  4. Step 4: Simplify right side
    3,645.97x = 7,135,047.38
  5. Step 5: Solve for x
    x = 7,135,047.38/3,645.97
  6. Step 6: Final answer
    x = 1,956.97

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1.5x scale

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.