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Finding the Fourth Proportional to 5,813.24, 8,684.50 and 3,716.48

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Solution

The fourth proportional to 5,813.24, 8,684.50 and 3,716.48 is: 5,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.24 : 8,684.50 = 3,716.48 : x
  2. Step 2: Convert to fraction form
    5,813.24/8,684.50 = 3,716.48/x
  3. Step 3: Cross multiply
    5,813.24x = 8,684.50 × 3,716.48
  4. Step 4: Simplify right side
    5,813.24x = 32,275,770.56
  5. Step 5: Solve for x
    x = 32,275,770.56/5,813.24
  6. Step 6: Final answer
    x = 5,552.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.