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Finding the Fourth Proportional to 3,567.12, 5,350.68 and 1,834.56

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Solution

The fourth proportional to 3,567.12, 5,350.68 and 1,834.56 is: 2,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.12 : 5,350.68 = 1,834.56 : x
  2. Step 2: Convert to fraction form
    3,567.12/5,350.68 = 1,834.56/x
  3. Step 3: Cross multiply
    3,567.12x = 5,350.68 × 1,834.56
  4. Step 4: Simplify right side
    3,567.12x = 9,816,143.50
  5. Step 5: Solve for x
    x = 9,816,143.50/3,567.12
  6. Step 6: Final answer
    x = 2,751.84

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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.