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Finding the Fourth Proportional to 3,907.14, 5,386.24 and 2,786.13

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Solution

The fourth proportional to 3,907.14, 5,386.24 and 2,786.13 is: 3,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.14 : 5,386.24 = 2,786.13 : x
  2. Step 2: Convert to fraction form
    3,907.14/5,386.24 = 2,786.13/x
  3. Step 3: Cross multiply
    3,907.14x = 5,386.24 × 2,786.13
  4. Step 4: Simplify right side
    3,907.14x = 15,006,764.85
  5. Step 5: Solve for x
    x = 15,006,764.85/3,907.14
  6. Step 6: Final answer
    x = 3,840.86

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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.