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Finding the Fourth Proportional to 3,907.34, 5,392.17 and 2,138.91

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Solution

The fourth proportional to 3,907.34, 5,392.17 and 2,138.91 is: 2,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.34 : 5,392.17 = 2,138.91 : x
  2. Step 2: Convert to fraction form
    3,907.34/5,392.17 = 2,138.91/x
  3. Step 3: Cross multiply
    3,907.34x = 5,392.17 × 2,138.91
  4. Step 4: Simplify right side
    3,907.34x = 11,533,346.11
  5. Step 5: Solve for x
    x = 11,533,346.11/3,907.34
  6. Step 6: Final answer
    x = 2,951.71

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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.