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Finding the Fourth Proportional to 5,304.68, 7,958.30 and 1,606.69

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Solution

The fourth proportional to 5,304.68, 7,958.30 and 1,606.69 is: 2,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.68 : 7,958.30 = 1,606.69 : x
  2. Step 2: Convert to fraction form
    5,304.68/7,958.30 = 1,606.69/x
  3. Step 3: Cross multiply
    5,304.68x = 7,958.30 × 1,606.69
  4. Step 4: Simplify right side
    5,304.68x = 12,786,521.03
  5. Step 5: Solve for x
    x = 12,786,521.03/5,304.68
  6. Step 6: Final answer
    x = 2,410.42

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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.