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Finding the Fourth Proportional to 5,550.11, 7,646.12 and 3,868.46

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Solution

The fourth proportional to 5,550.11, 7,646.12 and 3,868.46 is: 5,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550.11 : 7,646.12 = 3,868.46 : x
  2. Step 2: Convert to fraction form
    5,550.11/7,646.12 = 3,868.46/x
  3. Step 3: Cross multiply
    5,550.11x = 7,646.12 × 3,868.46
  4. Step 4: Simplify right side
    5,550.11x = 29,578,651.80
  5. Step 5: Solve for x
    x = 29,578,651.80/5,550.11
  6. Step 6: Final answer
    x = 5,329.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.