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Finding the Fourth Proportional to 5,741.69, 8,589.85 and 4,102.25

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Solution

The fourth proportional to 5,741.69, 8,589.85 and 4,102.25 is: 6,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.69 : 8,589.85 = 4,102.25 : x
  2. Step 2: Convert to fraction form
    5,741.69/8,589.85 = 4,102.25/x
  3. Step 3: Cross multiply
    5,741.69x = 8,589.85 × 4,102.25
  4. Step 4: Simplify right side
    5,741.69x = 35,237,658.96
  5. Step 5: Solve for x
    x = 35,237,658.96/5,741.69
  6. Step 6: Final answer
    x = 6,137.16

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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.