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Finding the Fourth Proportional to 5,830.33, 8,789.44 and 5,454.49

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Solution

The fourth proportional to 5,830.33, 8,789.44 and 5,454.49 is: 8,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.33 : 8,789.44 = 5,454.49 : x
  2. Step 2: Convert to fraction form
    5,830.33/8,789.44 = 5,454.49/x
  3. Step 3: Cross multiply
    5,830.33x = 8,789.44 × 5,454.49
  4. Step 4: Simplify right side
    5,830.33x = 47,941,912.59
  5. Step 5: Solve for x
    x = 47,941,912.59/5,830.33
  6. Step 6: Final answer
    x = 8,222.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.