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Finding the Fourth Proportional to 3,800.74, 5,700.96 and 1,336.12

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Solution

The fourth proportional to 3,800.74, 5,700.96 and 1,336.12 is: 2,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.74 : 5,700.96 = 1,336.12 : x
  2. Step 2: Convert to fraction form
    3,800.74/5,700.96 = 1,336.12/x
  3. Step 3: Cross multiply
    3,800.74x = 5,700.96 × 1,336.12
  4. Step 4: Simplify right side
    3,800.74x = 7,617,166.68
  5. Step 5: Solve for x
    x = 7,617,166.68/3,800.74
  6. Step 6: Final answer
    x = 2,004.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.