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Finding the Fourth Proportional to 3,684.33, 5,526.50 and 1,089.09

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Solution

The fourth proportional to 3,684.33, 5,526.50 and 1,089.09 is: 1,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.33 : 5,526.50 = 1,089.09 : x
  2. Step 2: Convert to fraction form
    3,684.33/5,526.50 = 1,089.09/x
  3. Step 3: Cross multiply
    3,684.33x = 5,526.50 × 1,089.09
  4. Step 4: Simplify right side
    3,684.33x = 6,018,850.44
  5. Step 5: Solve for x
    x = 6,018,850.44/3,684.33
  6. Step 6: Final answer
    x = 1,633.64

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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.