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Finding the Fourth Proportional to 4,195.84, 5,781.71 and 3,245.86

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Solution

The fourth proportional to 4,195.84, 5,781.71 and 3,245.86 is: 4,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.84 : 5,781.71 = 3,245.86 : x
  2. Step 2: Convert to fraction form
    4,195.84/5,781.71 = 3,245.86/x
  3. Step 3: Cross multiply
    4,195.84x = 5,781.71 × 3,245.86
  4. Step 4: Simplify right side
    4,195.84x = 18,766,592.31
  5. Step 5: Solve for x
    x = 18,766,592.31/4,195.84
  6. Step 6: Final answer
    x = 4,472.67

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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.