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Finding the Fourth Proportional to 4,135.17, 6,201.81 and 1,213.70

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Solution

The fourth proportional to 4,135.17, 6,201.81 and 1,213.70 is: 1,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.17 : 6,201.81 = 1,213.70 : x
  2. Step 2: Convert to fraction form
    4,135.17/6,201.81 = 1,213.70/x
  3. Step 3: Cross multiply
    4,135.17x = 6,201.81 × 1,213.70
  4. Step 4: Simplify right side
    4,135.17x = 7,527,124.33
  5. Step 5: Solve for x
    x = 7,527,124.33/4,135.17
  6. Step 6: Final answer
    x = 1,820.27

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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.