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Finding the Fourth Proportional to 3,905.87, 5,390.19 and 2,137.47

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Solution

The fourth proportional to 3,905.87, 5,390.19 and 2,137.47 is: 2,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.87 : 5,390.19 = 2,137.47 : x
  2. Step 2: Convert to fraction form
    3,905.87/5,390.19 = 2,137.47/x
  3. Step 3: Cross multiply
    3,905.87x = 5,390.19 × 2,137.47
  4. Step 4: Simplify right side
    3,905.87x = 11,521,369.42
  5. Step 5: Solve for x
    x = 11,521,369.42/3,905.87
  6. Step 6: Final answer
    x = 2,949.76

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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.