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Finding the Fourth Proportional to 5,788.26, 8,684.82 and 3,193.02

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Solution

The fourth proportional to 5,788.26, 8,684.82 and 3,193.02 is: 4,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.26 : 8,684.82 = 3,193.02 : x
  2. Step 2: Convert to fraction form
    5,788.26/8,684.82 = 3,193.02/x
  3. Step 3: Cross multiply
    5,788.26x = 8,684.82 × 3,193.02
  4. Step 4: Simplify right side
    5,788.26x = 27,730,803.96
  5. Step 5: Solve for x
    x = 27,730,803.96/5,788.26
  6. Step 6: Final answer
    x = 4,790.87

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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.