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Finding the Fourth Proportional to 5,194.40, 7,174.20 and 3,433.88

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Solution

The fourth proportional to 5,194.40, 7,174.20 and 3,433.88 is: 4,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.40 : 7,174.20 = 3,433.88 : x
  2. Step 2: Convert to fraction form
    5,194.40/7,174.20 = 3,433.88/x
  3. Step 3: Cross multiply
    5,194.40x = 7,174.20 × 3,433.88
  4. Step 4: Simplify right side
    5,194.40x = 24,635,341.90
  5. Step 5: Solve for x
    x = 24,635,341.90/5,194.40
  6. Step 6: Final answer
    x = 4,742.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.