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Finding the Fourth Proportional to 5,730.69, 8,589.89 and 3,755.58

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Solution

The fourth proportional to 5,730.69, 8,589.89 and 3,755.58 is: 5,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.69 : 8,589.89 = 3,755.58 : x
  2. Step 2: Convert to fraction form
    5,730.69/8,589.89 = 3,755.58/x
  3. Step 3: Cross multiply
    5,730.69x = 8,589.89 × 3,755.58
  4. Step 4: Simplify right side
    5,730.69x = 32,260,000.31
  5. Step 5: Solve for x
    x = 32,260,000.31/5,730.69
  6. Step 6: Final answer
    x = 5,629.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.