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Finding the Fourth Proportional to 3,907.50, 5,395.86 and 2,512.68

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Solution

The fourth proportional to 3,907.50, 5,395.86 and 2,512.68 is: 3,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.50 : 5,395.86 = 2,512.68 : x
  2. Step 2: Convert to fraction form
    3,907.50/5,395.86 = 2,512.68/x
  3. Step 3: Cross multiply
    3,907.50x = 5,395.86 × 2,512.68
  4. Step 4: Simplify right side
    3,907.50x = 13,558,069.50
  5. Step 5: Solve for x
    x = 13,558,069.50/3,907.50
  6. Step 6: Final answer
    x = 3,469.76

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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.