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Finding the Fourth Proportional to 3,742, 5,613.81 and 1,433.50

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Solution

The fourth proportional to 3,742, 5,613.81 and 1,433.50 is: 2,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742 : 5,613.81 = 1,433.50 : x
  2. Step 2: Convert to fraction form
    3,742/5,613.81 = 1,433.50/x
  3. Step 3: Cross multiply
    3,742x = 5,613.81 × 1,433.50
  4. Step 4: Simplify right side
    3,742x = 8,047,396.64
  5. Step 5: Solve for x
    x = 8,047,396.64/3,742
  6. Step 6: Final answer
    x = 2,150.56

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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.