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Finding the Fourth Proportional to 3,703.66, 5,542.43 and 3,119.24

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Solution

The fourth proportional to 3,703.66, 5,542.43 and 3,119.24 is: 4,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.66 : 5,542.43 = 3,119.24 : x
  2. Step 2: Convert to fraction form
    3,703.66/5,542.43 = 3,119.24/x
  3. Step 3: Cross multiply
    3,703.66x = 5,542.43 × 3,119.24
  4. Step 4: Simplify right side
    3,703.66x = 17,288,167.61
  5. Step 5: Solve for x
    x = 17,288,167.61/3,703.66
  6. Step 6: Final answer
    x = 4,667.86

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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.