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Finding the Fourth Proportional to 5,609.81, 8,409.62 and 3,523.50

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Solution

The fourth proportional to 5,609.81, 8,409.62 and 3,523.50 is: 5,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.81 : 8,409.62 = 3,523.50 : x
  2. Step 2: Convert to fraction form
    5,609.81/8,409.62 = 3,523.50/x
  3. Step 3: Cross multiply
    5,609.81x = 8,409.62 × 3,523.50
  4. Step 4: Simplify right side
    5,609.81x = 29,631,304.88
  5. Step 5: Solve for x
    x = 29,631,304.88/5,609.81
  6. Step 6: Final answer
    x = 5,282.05

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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.