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Finding the Fourth Proportional to 5,195.88, 7,795.62 and 3,245.76

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Solution

The fourth proportional to 5,195.88, 7,795.62 and 3,245.76 is: 4,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.88 : 7,795.62 = 3,245.76 : x
  2. Step 2: Convert to fraction form
    5,195.88/7,795.62 = 3,245.76/x
  3. Step 3: Cross multiply
    5,195.88x = 7,795.62 × 3,245.76
  4. Step 4: Simplify right side
    5,195.88x = 25,302,711.57
  5. Step 5: Solve for x
    x = 25,302,711.57/5,195.88
  6. Step 6: Final answer
    x = 4,869.76

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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.