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Finding the Fourth Proportional to 5,789.74, 8,683.80 and 2,091.46

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Solution

The fourth proportional to 5,789.74, 8,683.80 and 2,091.46 is: 3,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.74 : 8,683.80 = 2,091.46 : x
  2. Step 2: Convert to fraction form
    5,789.74/8,683.80 = 2,091.46/x
  3. Step 3: Cross multiply
    5,789.74x = 8,683.80 × 2,091.46
  4. Step 4: Simplify right side
    5,789.74x = 18,161,820.35
  5. Step 5: Solve for x
    x = 18,161,820.35/5,789.74
  6. Step 6: Final answer
    x = 3,136.90

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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.