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Finding the Fourth Proportional to 3,780.70, 5,217.23 and 2,102.18

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Solution

The fourth proportional to 3,780.70, 5,217.23 and 2,102.18 is: 2,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.70 : 5,217.23 = 2,102.18 : x
  2. Step 2: Convert to fraction form
    3,780.70/5,217.23 = 2,102.18/x
  3. Step 3: Cross multiply
    3,780.70x = 5,217.23 × 2,102.18
  4. Step 4: Simplify right side
    3,780.70x = 10,967,556.56
  5. Step 5: Solve for x
    x = 10,967,556.56/3,780.70
  6. Step 6: Final answer
    x = 2,900.93

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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.