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Finding the Fourth Proportional to 3,580.92, 5,365.80 and 3,213.72

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Solution

The fourth proportional to 3,580.92, 5,365.80 and 3,213.72 is: 4,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.92 : 5,365.80 = 3,213.72 : x
  2. Step 2: Convert to fraction form
    3,580.92/5,365.80 = 3,213.72/x
  3. Step 3: Cross multiply
    3,580.92x = 5,365.80 × 3,213.72
  4. Step 4: Simplify right side
    3,580.92x = 17,244,178.78
  5. Step 5: Solve for x
    x = 17,244,178.78/3,580.92
  6. Step 6: Final answer
    x = 4,815.57

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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.