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Finding the Fourth Proportional to 3,742.79, 5,614.16 and 1,550.30

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Solution

The fourth proportional to 3,742.79, 5,614.16 and 1,550.30 is: 2,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.79 : 5,614.16 = 1,550.30 : x
  2. Step 2: Convert to fraction form
    3,742.79/5,614.16 = 1,550.30/x
  3. Step 3: Cross multiply
    3,742.79x = 5,614.16 × 1,550.30
  4. Step 4: Simplify right side
    3,742.79x = 8,703,596.43
  5. Step 5: Solve for x
    x = 8,703,596.43/3,742.79
  6. Step 6: Final answer
    x = 2,325.43

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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.