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Finding the Fourth Proportional to 5,836.82, 8,745.50 and 4,102.34

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Solution

The fourth proportional to 5,836.82, 8,745.50 and 4,102.34 is: 6,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.82 : 8,745.50 = 4,102.34 : x
  2. Step 2: Convert to fraction form
    5,836.82/8,745.50 = 4,102.34/x
  3. Step 3: Cross multiply
    5,836.82x = 8,745.50 × 4,102.34
  4. Step 4: Simplify right side
    5,836.82x = 35,877,014.47
  5. Step 5: Solve for x
    x = 35,877,014.47/5,836.82
  6. Step 6: Final answer
    x = 6,146.67

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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.