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Finding the Fourth Proportional to 5,838.82, 8,748.50 and 4,104.34

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Solution

The fourth proportional to 5,838.82, 8,748.50 and 4,104.34 is: 6,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.82 : 8,748.50 = 4,104.34 : x
  2. Step 2: Convert to fraction form
    5,838.82/8,748.50 = 4,104.34/x
  3. Step 3: Cross multiply
    5,838.82x = 8,748.50 × 4,104.34
  4. Step 4: Simplify right side
    5,838.82x = 35,906,818.49
  5. Step 5: Solve for x
    x = 35,906,818.49/5,838.82
  6. Step 6: Final answer
    x = 6,149.67

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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.