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Finding the Fourth Proportional to 5,468.80, 8,196.98 and 4,809.39

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Solution

The fourth proportional to 5,468.80, 8,196.98 and 4,809.39 is: 7,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.80 : 8,196.98 = 4,809.39 : x
  2. Step 2: Convert to fraction form
    5,468.80/8,196.98 = 4,809.39/x
  3. Step 3: Cross multiply
    5,468.80x = 8,196.98 × 4,809.39
  4. Step 4: Simplify right side
    5,468.80x = 39,422,473.64
  5. Step 5: Solve for x
    x = 39,422,473.64/5,468.80
  6. Step 6: Final answer
    x = 7,208.61

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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.