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Finding the Fourth Proportional to 3,907.22, 5,391.48 and 3,112.57

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Solution

The fourth proportional to 3,907.22, 5,391.48 and 3,112.57 is: 4,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.22 : 5,391.48 = 3,112.57 : x
  2. Step 2: Convert to fraction form
    3,907.22/5,391.48 = 3,112.57/x
  3. Step 3: Cross multiply
    3,907.22x = 5,391.48 × 3,112.57
  4. Step 4: Simplify right side
    3,907.22x = 16,781,346.99
  5. Step 5: Solve for x
    x = 16,781,346.99/3,907.22
  6. Step 6: Final answer
    x = 4,294.96

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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.