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Finding the Fourth Proportional to 4,388.80, 6,581.22 and 1,614.64

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Solution

The fourth proportional to 4,388.80, 6,581.22 and 1,614.64 is: 2,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.80 : 6,581.22 = 1,614.64 : x
  2. Step 2: Convert to fraction form
    4,388.80/6,581.22 = 1,614.64/x
  3. Step 3: Cross multiply
    4,388.80x = 6,581.22 × 1,614.64
  4. Step 4: Simplify right side
    4,388.80x = 10,626,301.06
  5. Step 5: Solve for x
    x = 10,626,301.06/4,388.80
  6. Step 6: Final answer
    x = 2,421.23

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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.