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Finding the Fourth Proportional to 4,907.97, 6,772.65 and 2,669.80

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Solution

The fourth proportional to 4,907.97, 6,772.65 and 2,669.80 is: 3,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.97 : 6,772.65 = 2,669.80 : x
  2. Step 2: Convert to fraction form
    4,907.97/6,772.65 = 2,669.80/x
  3. Step 3: Cross multiply
    4,907.97x = 6,772.65 × 2,669.80
  4. Step 4: Simplify right side
    4,907.97x = 18,081,620.97
  5. Step 5: Solve for x
    x = 18,081,620.97/4,907.97
  6. Step 6: Final answer
    x = 3,684.13

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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.