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Finding the Fourth Proportional to 5,827.87, 8,749.43 and 3,460.27

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Solution

The fourth proportional to 5,827.87, 8,749.43 and 3,460.27 is: 5,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.87 : 8,749.43 = 3,460.27 : x
  2. Step 2: Convert to fraction form
    5,827.87/8,749.43 = 3,460.27/x
  3. Step 3: Cross multiply
    5,827.87x = 8,749.43 × 3,460.27
  4. Step 4: Simplify right side
    5,827.87x = 30,275,427.85
  5. Step 5: Solve for x
    x = 30,275,427.85/5,827.87
  6. Step 6: Final answer
    x = 5,194.94

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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.