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Finding the Fourth Proportional to 5,830.88, 8,744.30 and 1,934.38

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Solution

The fourth proportional to 5,830.88, 8,744.30 and 1,934.38 is: 2,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.88 : 8,744.30 = 1,934.38 : x
  2. Step 2: Convert to fraction form
    5,830.88/8,744.30 = 1,934.38/x
  3. Step 3: Cross multiply
    5,830.88x = 8,744.30 × 1,934.38
  4. Step 4: Simplify right side
    5,830.88x = 16,914,745.64
  5. Step 5: Solve for x
    x = 16,914,745.64/5,830.88
  6. Step 6: Final answer
    x = 2,900.89

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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.