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Finding the Fourth Proportional to 5,304.56, 7,322.64 and 3,819.92

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Solution

The fourth proportional to 5,304.56, 7,322.64 and 3,819.92 is: 5,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.56 : 7,322.64 = 3,819.92 : x
  2. Step 2: Convert to fraction form
    5,304.56/7,322.64 = 3,819.92/x
  3. Step 3: Cross multiply
    5,304.56x = 7,322.64 × 3,819.92
  4. Step 4: Simplify right side
    5,304.56x = 27,971,898.99
  5. Step 5: Solve for x
    x = 27,971,898.99/5,304.56
  6. Step 6: Final answer
    x = 5,273.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.