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Finding the Fourth Proportional to 3,755.80, 5,633.70 and 1,907.20

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Solution

The fourth proportional to 3,755.80, 5,633.70 and 1,907.20 is: 2,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.80 : 5,633.70 = 1,907.20 : x
  2. Step 2: Convert to fraction form
    3,755.80/5,633.70 = 1,907.20/x
  3. Step 3: Cross multiply
    3,755.80x = 5,633.70 × 1,907.20
  4. Step 4: Simplify right side
    3,755.80x = 10,744,592.64
  5. Step 5: Solve for x
    x = 10,744,592.64/3,755.80
  6. Step 6: Final answer
    x = 2,860.80

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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.