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Finding the Fourth Proportional to 5,749.67, 8,618.52 and 3,900.94

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Solution

The fourth proportional to 5,749.67, 8,618.52 and 3,900.94 is: 5,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.67 : 8,618.52 = 3,900.94 : x
  2. Step 2: Convert to fraction form
    5,749.67/8,618.52 = 3,900.94/x
  3. Step 3: Cross multiply
    5,749.67x = 8,618.52 × 3,900.94
  4. Step 4: Simplify right side
    5,749.67x = 33,620,329.41
  5. Step 5: Solve for x
    x = 33,620,329.41/5,749.67
  6. Step 6: Final answer
    x = 5,847.35

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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.