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Finding the Fourth Proportional to 3,907.34, 5,393.28 and 2,786.50

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Solution

The fourth proportional to 3,907.34, 5,393.28 and 2,786.50 is: 3,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.34 : 5,393.28 = 2,786.50 : x
  2. Step 2: Convert to fraction form
    3,907.34/5,393.28 = 2,786.50/x
  3. Step 3: Cross multiply
    3,907.34x = 5,393.28 × 2,786.50
  4. Step 4: Simplify right side
    3,907.34x = 15,028,391.91
  5. Step 5: Solve for x
    x = 15,028,391.91/3,907.34
  6. Step 6: Final answer
    x = 3,846.20

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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.