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Finding the Fourth Proportional to 4,306.56, 6,450.08 and 4,209.36

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Solution

The fourth proportional to 4,306.56, 6,450.08 and 4,209.36 is: 6,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.56 : 6,450.08 = 4,209.36 : x
  2. Step 2: Convert to fraction form
    4,306.56/6,450.08 = 4,209.36/x
  3. Step 3: Cross multiply
    4,306.56x = 6,450.08 × 4,209.36
  4. Step 4: Simplify right side
    4,306.56x = 27,150,708.75
  5. Step 5: Solve for x
    x = 27,150,708.75/4,306.56
  6. Step 6: Final answer
    x = 6,304.50

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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.