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Finding the Fourth Proportional to 5,789.50, 8,684.86 and 1,629.48

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Solution

The fourth proportional to 5,789.50, 8,684.86 and 1,629.48 is: 2,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.50 : 8,684.86 = 1,629.48 : x
  2. Step 2: Convert to fraction form
    5,789.50/8,684.86 = 1,629.48/x
  3. Step 3: Cross multiply
    5,789.50x = 8,684.86 × 1,629.48
  4. Step 4: Simplify right side
    5,789.50x = 14,151,805.67
  5. Step 5: Solve for x
    x = 14,151,805.67/5,789.50
  6. Step 6: Final answer
    x = 2,444.39

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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.