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Finding the Fourth Proportional to 3,907.60, 5,391.15 and 2,227.80

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Solution

The fourth proportional to 3,907.60, 5,391.15 and 2,227.80 is: 3,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.60 : 5,391.15 = 2,227.80 : x
  2. Step 2: Convert to fraction form
    3,907.60/5,391.15 = 2,227.80/x
  3. Step 3: Cross multiply
    3,907.60x = 5,391.15 × 2,227.80
  4. Step 4: Simplify right side
    3,907.60x = 12,010,385.51
  5. Step 5: Solve for x
    x = 12,010,385.51/3,907.60
  6. Step 6: Final answer
    x = 3,073.59

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