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Finding the Fourth Proportional to 6,206.80, 9,304.80 and 3,742.60

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Solution

The fourth proportional to 6,206.80, 9,304.80 and 3,742.60 is: 5,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.80 : 9,304.80 = 3,742.60 : x
  2. Step 2: Convert to fraction form
    6,206.80/9,304.80 = 3,742.60/x
  3. Step 3: Cross multiply
    6,206.80x = 9,304.80 × 3,742.60
  4. Step 4: Simplify right side
    6,206.80x = 34,824,144.48
  5. Step 5: Solve for x
    x = 34,824,144.48/6,206.80
  6. Step 6: Final answer
    x = 5,610.64

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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.