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Finding the Fourth Proportional to 3,798.54, 5,697.81 and 3,033.90

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Solution

The fourth proportional to 3,798.54, 5,697.81 and 3,033.90 is: 4,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.54 : 5,697.81 = 3,033.90 : x
  2. Step 2: Convert to fraction form
    3,798.54/5,697.81 = 3,033.90/x
  3. Step 3: Cross multiply
    3,798.54x = 5,697.81 × 3,033.90
  4. Step 4: Simplify right side
    3,798.54x = 17,286,585.76
  5. Step 5: Solve for x
    x = 17,286,585.76/3,798.54
  6. Step 6: Final answer
    x = 4,550.85

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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.