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Finding the Fourth Proportional to 3,633.99, 5,451.50 and 1,167.98

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Solution

The fourth proportional to 3,633.99, 5,451.50 and 1,167.98 is: 1,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.99 : 5,451.50 = 1,167.98 : x
  2. Step 2: Convert to fraction form
    3,633.99/5,451.50 = 1,167.98/x
  3. Step 3: Cross multiply
    3,633.99x = 5,451.50 × 1,167.98
  4. Step 4: Simplify right side
    3,633.99x = 6,367,242.97
  5. Step 5: Solve for x
    x = 6,367,242.97/3,633.99
  6. Step 6: Final answer
    x = 1,752.14

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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.