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Finding the Fourth Proportional to 7,202.60, 10,805.21 and 3,504.84

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Solution

The fourth proportional to 7,202.60, 10,805.21 and 3,504.84 is: 5,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.60 : 10,805.21 = 3,504.84 : x
  2. Step 2: Convert to fraction form
    7,202.60/10,805.21 = 3,504.84/x
  3. Step 3: Cross multiply
    7,202.60x = 10,805.21 × 3,504.84
  4. Step 4: Simplify right side
    7,202.60x = 37,870,507.03
  5. Step 5: Solve for x
    x = 37,870,507.03/7,202.60
  6. Step 6: Final answer
    x = 5,257.89

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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.