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Finding the Fourth Proportional to 5,209.39, 7,813.24 and 1,924.03

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Solution

The fourth proportional to 5,209.39, 7,813.24 and 1,924.03 is: 2,885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.39 : 7,813.24 = 1,924.03 : x
  2. Step 2: Convert to fraction form
    5,209.39/7,813.24 = 1,924.03/x
  3. Step 3: Cross multiply
    5,209.39x = 7,813.24 × 1,924.03
  4. Step 4: Simplify right side
    5,209.39x = 15,032,859.47
  5. Step 5: Solve for x
    x = 15,032,859.47/5,209.39
  6. Step 6: Final answer
    x = 2,885.73

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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.