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Finding the Fourth Proportional to 3,907.17, 5,391.86 and 2,138.67

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Solution

The fourth proportional to 3,907.17, 5,391.86 and 2,138.67 is: 2,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.17 : 5,391.86 = 2,138.67 : x
  2. Step 2: Convert to fraction form
    3,907.17/5,391.86 = 2,138.67/x
  3. Step 3: Cross multiply
    3,907.17x = 5,391.86 × 2,138.67
  4. Step 4: Simplify right side
    3,907.17x = 11,531,398.53
  5. Step 5: Solve for x
    x = 11,531,398.53/3,907.17
  6. Step 6: Final answer
    x = 2,951.34

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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.